A survey was given and here are the results "Number responding less than 1 week"
Gender - X N
Males - 71 411
Females - 64 253

a) Construct a 95% confidence interval for the difference in the proportions of males and females at this university. Who would respond less than one week?

b) does there appear to be evidence of a difference in the proportions of men and women at this university who would respond less than 1 week. Provide statistical justification

Answers

Answer 1
p2 = 71/411 = 0.1727
p1 = 64/253 = 0.2530

(p1 - p2) = 0.2530 - 0.1727 = 0.0803
SE = sqrt{[p1(1 - p1)/n1] + [p2(1 - p2)/n2]} = sqrt{[0.2530(1 - 0.2530)/253] + [0.1727(1 - 0.1727)/411]} = sqrt(0.000747 + 0.0003476) = sqrt(0.001095) = 0.0331

Therefore, 95% confidence interval for the difference in the proportions of males and females at this university who would respond less than one week = (p1 - p2) + or - 1.96(SE) = 0.0803 + or - 1.96(0.0331) = 0.0803 - 0.0648 to 0.0803 + 0.0648 = 0.0155 to 0.1451

b.) Yes.

Related Questions

Using the given figure, the square ABCD is transformed to a new location.

The transformation shown is


RO,90°
DO,3
T(x, y) → (x + 5, y + 2)

Answers

Answer:

C

Step-by-step explanation:

1. Which fractions are equivalent to 25/45. Please give two examples.

2. Which describes independent events?

Spinning two fours on a spinner divided into four numbered sections.

Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card.

Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another.

Selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.

Answers

1) fractions equivalent to 25/45

Any fraction obtaining by multiplying both numerator and denominator by the same quantity will result in an equivalent fraction.

Examples:

- divide both numerator and denominator by 5 => 5/9 is equivalent

- multiply both numerator and denominator by 2 => 50 / 90 is equivalent

- multiply both numerator and denominator by 10 => 250 / 450  is equivalent.


2)
Spinning two fours on a spinner divided into four numbered sections: these are independent events, becasue one result does not influence the other.

Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card: they are not independent, because if the first card is a king the probability of the second card will be different than if the first card is not a king.

Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another: they are not independent because whether the first two marbles are green or not, make the probabilities for the second event different.

Selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.: they are not independent, by similar reason explainded in the two previos options.

Which ordered pairs are solutions to the inequality y − 4x ≤ −6?

Select each correct answer.

A.(1, 3)

B. (−2, −14)

C. (−1, −9)

D. (3, 5)

E. (0, −5)

Answers

Choice a:
The order pair given is (1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong

Choice b:
The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct

Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong

Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct

Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong

Answer

b and d

Step-by-step explanation:

What's the volume of a cube-shaped box with edges 6 centimeters in length? A. 216 cm³ B. 18 cm³ C. 36 cm³ D. 1,296 cm³

Answers

The answer is 216 cm³.

This is because the volume of a cube is worked out by doing [tex] a^{3} [/tex]. [tex]a[/tex] being the edge. Therefore, you just have to do [tex]6^{3} [/tex] (6 × 6 × 6), which is 216. 

Answer:

A. 216

Step-by-step explanation:

This is because the volume of a cube is worked out by doing .  being the edge. Therefore, you just have to do  (6 × 6 × 6), which is 216.

In how many ways can the letters in the word spoon be arranged?

Answers

60 i believe is the correct answer
Since there are 5 letters in spoon and the 'o' repeats (there are 2 o's) you would do 5!/2!
This equals 60

You have already invested $400 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on the entire $1,600 is 9%? (Round each answer to the nearest cent.)

Answers

The annual return on $400 in stock is 0.11*400 = $44

The total return you want is 0.09 * 1600 = $144

Let a be the amount invested at 12% and b be the amount invested at 6% 

0.12a + 0.06b = 144 - 44

12a + 6b = 10000

a + b = 1200

Put those 2 equations together and solve for a and b: 

12a + 6b = 10000 

a + b = 1200

Using elimination, a = $466.67 and b = $733.33

So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%

Final answer:

To determine how much to invest at 12% and 6% to achieve a total return of 9% on $1,600, set up and solve the equation based on the given information.

Explanation:

To calculate how much of the additional $1,200 should be invested at 12% and how much at 6%:

Let x be the amount invested at 12% and 1200-x be the amount invested at 6%.Set up the equation: 0.12x + 0.06(1200-x) = 0.09(1600-400).Solve the equation to find x, which represents the amount to invest at 12%.

Let f(x)=x^3-7x^2+25x-39 and let g be the inverse function of f. What is the value of g'(0)? ...?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below are the choices that can be found from other sources:

a) -1/25 

b) 1/25 

c) 1/10 

d) 10 

e) 25

f(x) = x^3 - 7x^2 + 25x - 39 
f'(x) = 3x^2 - 14x + 25 

Since g is the inverse function of f 
f(g(x)) = x 

Differentiate both sides of equation 
f'(g(x)) g'(x) = 1 

Now f(3) = 0, so g(0) = 3 

g'(x) = 1 / f'(g(x)) 
g'(0) = 1 / f'(g(0)) 
g'(0) = 1 / f'(3) 
g'(0) = 1 / 10

How do I convert 4/5 to a percent

Answers

(4/5) x 100%
= 80%
=0.8

if x>2, then x^2-a-6 / x^2-4=

Answers

We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
[tex] \frac{(x-3)(x+2)}{(x-2)(x+2)}= \frac{x-3}{x-2} [/tex]


Please someone can help me with #13, 15 and 16 Thanks.

Answers

what's the question though?

when 1600 is increased by 20% and the resulting number is decreased by y% . the answer is 1536

Answers

Hi, you want the result only or the way how to calculate?

Use the area model to find the product of 28×32

Answers

the answer is 76 I think so

What decimal is represented by this expanded form? 5 x 10,000 3 x 1,000 2 x 10 8 x 1 6 1/1,000 4 x 1/,000?

Answers

53028.0064 ...I believe this is ur number...if thats 6 x 1/1000 , 4 x 1/10,000

(Distribute , then simplify the remaining expression. Final answer must be in standard form) Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .

Answers

Problem 22
[tex]4x^2(2x^2+x-5) - x(x^3+5x^2-3) + 17[/tex]
[tex]4x^2(2x^2)+4x^2(x)+4x^2(-5) - x(x^3)-x(5x^2)-x(-3) + 17[/tex]
[tex]8x^4+4x^3-20x^2 - x^4-5x^3+3x + 17[/tex]
[tex]7x^4-x^3-20x^2+3x + 17[/tex]

So the final simplified answer to problem 22 is
[tex]7x^4-x^3-20x^2+3x + 17[/tex]

--------------------------------

Problem 23
[tex]-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)[/tex]
[tex]-2x(x^3)-2x(-6x^2)-2x(6)+4x^3-(5x^4)-(10x)[/tex]
[tex]-2x^4+12x^3-12x+4x^3-5x^4-10x[/tex]
[tex]-7x^4+16x^3-22x[/tex]

So problem 23 simplifies to
[tex]-7x^4+16x^3-22x[/tex]

---------------------------------------------------------

Problem 24
[tex]4b[2a^2-5(3ab-2b^2)]+29ab^2[/tex]
[tex]4b[2a^2-5(3ab)-5(-2b^2)]+29ab^2[/tex]
[tex]4b[2a^2-15ab+10b^2]+29ab^2[/tex]
[tex]4b[2a^2]+4b[-15ab]+4b[10b^2]+29ab^2[/tex]
[tex]8a^2b-60ab^2+40b^3+29ab^2[/tex]
[tex]8a^2b-31ab^2+40b^3[/tex]

So problem 24 simplifies to 
[tex]8a^2b-31ab^2+40b^3[/tex]

-------------------------------------------------

Problem 25
[tex]2y(6x-4x^2y)+13x^2y^2-6[/tex]
[tex]2y(6x)+2y(-4x^2y)+13x^2y^2-6[/tex]
[tex]12xy-8x^2y^2+13x^2y^2-6[/tex]
[tex]12xy+5x^2y^2-6[/tex]

The final answer for problem 25 is
[tex]12xy+5x^2y^2-6[/tex]

What is bigger 5/6 or 13/18?

Answers

To compare fractions, you need a common denominator.
6 goes into 18 three times.  If we multiply (5/6) by 3 on top and bottom you get
[tex]\frac{15}{18} [/tex]
Now we can compare numerators, since 15 > 13
[tex]\frac{5}{6} \ \textgreater \ \frac{13}{18}[/tex]

If the function has jump discontinuity , infinite discontinuity , continuous , or the function has point discontinuity
X^3 + 7x^2 + 10x / x + 5

Answers

It is continuous because the function can be further simplified thus, cancelling the denominator.

f(x) = x(x+5)(x+2) / (x+5)
f(x) = x(x+2)
The function is continuous everywhere/ in any domain.
Final answer:

The function x^3 + 7x^2 + 10x / (x + 5) is discontinuous at x = -5, where it has a jump discontinuity. The function is otherwise continuous and does not approach infinity, indicating no infinite discontinuity.

Explanation:

The given function is x^3 + 7x^2 + 10x / (x + 5). To determine the continuity of the function, it's crucial to identify any values of x that would make the denominator zero since the function is undefined at these points.

In this case, if x is -5, the denominator will be zero, making the function undefined. Therefore, the function has a point of discontinuity or a jump discontinuity at x = -5.

The function does not have an infinite discontinuity because it never approaches infinity as x approaches any particular value. This function is continuous at every point except for x = -5. Therefore, "the function x^3 + 7x^2 + 10x / (x + 5) has one point of discontinuity at x = -5."

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A number t multiplied by -4 is a least -2/5

Answers

Always remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

The inequality -4t ≥ -2/5, where t is the variable in question, simplifies to t ≤ 1/10, indicating that t must be less than or equal to 0.1. Negative time values are a conceptual tool used in physics to discuss intervals before a chosen start time.

The student's question is about solving an inequality involving a variable t and understanding the concept of negative time. The inequality is given as a number t multiplied by -4 is at least -2/5. Mathematically, this can be written as -4t ≥ -2/5. To solve for t, we can divide both sides by -4 (remembering that dividing by a negative switches the inequality sign), so t ≤ 1/10 or t is less than or equal to 0.1. This condition must hold true for any value of t for the statement to be correct.

The concept of negative time is often used in physics to describe events that occurred before a certain reference point in time. The references to negative time values represent periods before some initial event, similar to counting backward. A negative t value does not imply 'backward' time travel in the literal sense, but rather a point in time before the designated start (t = 0).

Cody is selling chocolate and white chocolate candy bars for a school fundraiser. 30% of the candy bars sold have been white chocolate. If Cody has sold 24 white chocolate candy bars, how many total candy bars has he sold?

Answers

30% of 24 is 7.2, which can be rounded to 7 white chocolate candy bars.

Answer: The answer is 80

Step-by-step explanation: because first of all divide 24 by 30% which equals 80 and second I took the USATP Test and got it right

A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
To answer the above question, if the store donates 24 soccer balls the number of basketballs does the store donate is 28 basketballs

Answer:

Step-by-step explanation:

First you have to know that you if you divide 24 by 6 you would have to take 7 multiplied by 4 to get 28

The surfaces intersect in a space curve C. Determine the projection of C onto the xy-plane.
The paraboloids x^2+y^2+ z=4 and x^2 +3y^2=z

Answers

As the paraboloids is given with the following equation

x^2+y^2+ z=4 and x^2 +3y^2=z

So,
x^2+y^2+ z-4 = x^2 +3y^2 - z 
x^2+y^2+ z-4 - x^2 -3y^2 + z =0

= -2y^2 +2z -4 
which is the projection of C onto the xy-Plane and it will be an eclipse.




Final answer:

The projection of the space curve C, resulting from the intersection of the two given paraboloids, onto the xy-plane is the line y=0.

Explanation:

The surfaces provided are of the paraboloids x^2 + y^2 + z = 4 and x^2 + 3y^2 = z. We can find the space curve, which is the curve of intersection of these two surfaces, by setting the two equations equal to each other. We would get x^2 + y^2 + z = x^2 + 3y^2 which simplifies to 2y^2 - z = 0. The projection of this space curve C onto the xy-plane would just be the shadow this curve casts on the xy-plane. Thus, we eliminate the z variable and the result would be 2y^2 = 0 -> y = 0 , so, the projection of the curve on the xy-plane is y=0.

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List 12 spherical objects that would be around the home. Please do not list all balls, soccer ball, basket ball, etc.

Answers

Ball, marble, orange, onion, apple, melon, globe, tea-strainer, fish bowl, beads, grapes, lamp shade.

Help please....



35
14
11

Answers

it is 35 that what i think i hope you make a 100  on your test 

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response.

Answers

When you are trying to figure this out put them into a list vertically. Remember, ONE X CAN'T HAVE TO Y's BUT ONE Y CAN HAVE MULTIPLE X's, But dont worry about the y's right now. Lets focus on the x's.

Ask yourself, Are there 2 or more x's that are the same value? 
     Yes) Continue to next step
     No) It's a function :)

If there are 2 or more of the same x value, ask your self now if those x's have different y Values.
     Yes) It is not a function, one x can not have more that 1 y value
     No) Its a function :)

round off 15.8% to the nearest whole percent

Answers

15.8%=16%
8 is greater than 5 so round off 
answer=16%

To round 15.8% to the nearest whole percent, we round up due to the digit after the decimal point is 8, resulting in 16%.

To round off 15.8% to the nearest whole percent, we look at the first digit after the decimal point, which is 8. Since this digit is 5 or greater, we round up. Therefore, 15.8% rounded to the nearest whole percent is 16%. This rounding method ensures accuracy in representing percentages, particularly in contexts like statistical analysis, grading, and financial reporting. By rounding to the nearest whole percent, the value becomes more concise and easier to interpret, aiding in clear communication and decision-making processes where precise percentage values are essential for understanding and comparison.

the form of a linear equation that shows the slope and one point is the...? ...?

Answers

The form of a linear equation that shows the slope and one point is the POINT-SLOPE FORM.

Equations in point-slope form look like this: y - k = m(x - h) where m is the slope of the line and (h, k) is a point on the line (any point works). To write an equation in point-slope form, given a graph of that equation, first determine the slopeby picking two points.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

The form of a linear equation that shows the slope and one point is known as the point-slope form, which is written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

The form of a linear equation that shows the slope and one point is known as the point-slope form. Unlike the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, the point-slope form is typically written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

For example, if you are given a slope of 3 and a point (2, 5), the equation of the line in point-slope form would be y - 5 = 3(x - 2). To visualize this, consider a line graph with the x-axis as the horizontal axis and the y-axis as the vertical axis.

If this was plotted, the line would rise 3 units on the vertical axis for every 1 unit it rises on the horizontal axis, illustrating the concept of slope as the rise over run, which is consistent along the entire length of a straight line.

24. a) The average height od sunflowers in a field is 64 in. with a standard deviation of 3.5 in. On a piece of paper, draw a normal curve for the distribution, including the values of the horizontal axis at one, two, and three standard deviations from the mean. Describe your drawing in as much detail as possible, and explain how you came up with each of your labels. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 in.? Explain how you got your answer.

Answers

μ = 64 
σ = 3.5 

a) 

μ - 3σ = 53.5 
μ - 2σ = 57.0 
μ - σ = 60.5 
μ = 64.0 
μ + σ = 67.5 
μ + 2σ = 71.0 
μ + 3σ = 74.5 

b) 

(71 - 64)/3.5 = 2.0 
z = 0.9772 
n = 3000*(1 - 0.9772) 
≈ 68
Hope this helps!

The graph is attached and 68 sunflowers will be taller than 71 inches in the field.

Given that:

- Mean (average height) = 64 inches

- Standard deviation = 3.5 inches

Standardizing the height 71 inches using the z-score formula, we have

[tex]\[ z = \frac{{x - \mu}}{{\sigma}} \][/tex]

Substitute the known values into the equation

[tex]\[ z = \frac{{71 - 64}}{{3.5}} \][/tex]

[tex]\[ z = \frac{{7}}{{3.5}} \][/tex]

[tex]\[ z = 2 \][/tex]

Using the standard distribution table, we have

P(z > 2) = 0.02275

To find the number of sunflowers taller than 71 inches:

[tex]\[ 3000 \times 0.02275[/tex]

Evaluate

68

Hence, 68 sunflowers will be taller than 71 inches in the field.

Write five and three eights as an improper fraction and as a mixed number

Answers

5 3/8 (mixed number)
43/8 (improper fraction)
5.375 (decimal)

Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1). ...?

Answers

[tex]y-y_1=m(x-x_1) \\m=6 \\(1,1) \Rightarrow x_1=1,y_1=1 \\ \\ y-1=6(x-1) \\y-1=6x-6 \\y=6x-6+1 \\y=6x-5[/tex]

Which of the following is the equation of a line parallel to the line y = 4x + 1, passing through the point (5,1)?

A. 4x + y = 19
B. 4x - y = 19
C. 4x + y = -19
D. -4x - y = 19
...?

Answers

the solution is B. 4x - y = 19 , because 4(5) -1 = 19, this line passes on (5,1)

4x-y=19 is the correct answer for this problem

Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)

Question 16 options:

3 miles


5 miles


7 miles


9 miles

Answers

It would be 5 miles if the triangle was a right angle
You can use the pythagorean theorem a² + b² = c², where a and b are perpendicular sides of a triangle and c is the hypotenuse.

For this problem, a = 3, b = 4
c = √(3² + 4²) = √5² = 5
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Callie loves flowers she picks. 4 tulips for every daisy she picks callie's mom also gave her 6 tulips this week from her garden.how many tulips will Callie have this week if she picks 3 daisies The following are all examples of rigorous coursework except: A.physical education courses. B.AP courses. C.dual enrollment courses. D.IB courses. Iodine would have chemical properties most like -F.manganeseG.telluriumH.chlorineI.xenon A circle has an area of approximately 78.5 square units. If the center of the circle is at (2,4). Which of the following points is on the circle?(-6, 4)(2, -1)(-4, -4)(2, -9) Evaluate |x-13| when x=5.A.8B.-8C.21D.-21 Foreign Exchange RatesCounty / CurrencyForeign Currency in U.S. DollarsU.S. Dollars in Foreign CurrencyUK / Pound2.0292.4928Japan / Yen.0084118.9599India / Rupee.024840.3950Canada / Dollar.93941.0645 Micah is an exchange student living in Japan. He wants to buy a new-release movie for 2,000 Japanese yen. When he calls home, he discovers the movie sells for $25. Micah decides toA)wait because the movie costs relatively the same amount in both countries.B)buy the movie in Japan because it is relatively less expensive than in the U.S.C)wait to buy the movie in the U.S. because it is relatively less expensive in the U.S.D)buy the movie in the U.S. and pay $10 to ship it because the total cost will still be less. Simplify the complex fraction . [(2)/(5t) - (3)/3t)]/[(1)/(2t) + (1)/(2t)] what is 70.49 divided by 19? A car sales person sell a car for $21,000 to receive a 5.25 percent commission on the sale of the car how much did she earn on the sale round your answer to the nearest cent how many four-digit numbers are possible in which the leftmost digit is odd, the rightmost digit is even, and all four digits are different The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...? An ice cube has mass 9.0g and is added to a cup of coffee. The coffee's intial temp. is 90.0 deg. Celsius and the cup contains 120.0 g of liquid. Assume the specific heat capacity of coffee is the same as that of water. The heat of fusion of ice (associated with ice melting) is 6.0kJ/mol. Find the temp. of coffee after ice melts. Mr. Hoyt was making dinner reservations.What is the verb tense and aspect?past perfectfuture perfectpast progressivefuture progressive Which graph shows a triangle and its reflection image across the x-axis? An "A" train leaves a subway station every 12 minutes. An "E" train leaves every 9 minutes. If both trains just left the station on parallel tracks, when will both leave the station together again?A. 108 minutesB. 36 minutesC. 72 minutesD. 24 minutes Most of Earth's active volcanoes on land are located what fraction is less than 2/3 Solve for x.3(3x - 1) + 2(3 - x) = 0 Which shows that the Egyptians believed in an afterlife? A.They made use of the Nile's life-giving waters. B.They began calling their rulers Pharaoh, which means "great house." C.They built sphinxes to guard tombs and constructed pyramids. D.They prayed to Re, the god of the blazing sun. what controls the water permeability of collecting ducts in the kidney??? ...? Steam Workshop Downloader