Final answer:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, calculate the sample proportions for women and men, calculate the standard error, calculate the margin of error, and calculate the lower and upper bounds of the confidence interval.
Explanation:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, we can use the formula for calculating the confidence interval for a difference in proportions.
Calculate the sample proportions for women and men who consider job security very or extremely important. For women, this would be 702/798 = 0.8797, and for men, this would be 802/940 = 0.8532.Calculate the standard error using the formula: sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes. In this case, the standard error would be sqrt((0.8797 * (1 - 0.8797) / 798) + (0.8532 * (1 - 0.8532) / 940)).Calculate the margin of error using the formula: z * standard error, where z is the z-score for the desired confidence level. For a 95% confidence level, the z-score is 1.96. In this case, the margin of error would be 1.96 * standard error.Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the difference in sample proportions. In this case, the lower bound would be (0.8797 - 0.8532) - margin of error, and the upper bound would be (0.8797 - 0.8532) + margin of error.The resulting 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important would be interpreted as follows: We are 95% confident that the true difference in proportions lies between the lower and upper bounds calculated above. This means that there is a high likelihood that women place a higher value on job security compared to men, but there is still some uncertainty due to sampling variability.
We are 95% confident that the difference in the proportion of working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This indicates there is no statistically significant difference between the proportions at the 95% confidence level.
To construct a 95% confidence interval for the difference in the proportion of working women and men who consider job security very or extremely important, we will follow these steps:
1. Determine the sample proportions:
For women:
[tex]\[ \hat{p}_1 = \frac{702}{798} = 0.8797 \][/tex]
For men:
[tex]\[ \hat{p}_2 = \frac{802}{940} = 0.8521 \][/tex]
2. Calculate the difference in sample proportions:
[tex]\[ \hat{p}_1 - \hat{p}_2 = 0.8797 - 0.8521 = 0.0276 \][/tex]
3. Calculate the standard error (SE) for the difference in proportions:
[tex]\[ SE = \sqrt{\frac{\hat{p}_1 (1 - \hat{p}_1)}{n_1} + \frac{\hat{p}_2 (1 - \hat{p}_2)}{n_2}} \][/tex]
Plugging in the values:
[tex]\[ SE = \sqrt{\frac{0.8797 (1 - 0.8797)}{798} + \frac{0.8521 (1 - 0.8521)}{940}} \][/tex]
[tex]\[ SE = \sqrt{\frac{0.1059}{798} + \frac{0.1260}{940}} \][/tex]
[tex]\[ SE = \sqrt{0.0001327 + 0.0001340} \][/tex]
[tex]\[ SE = \sqrt{0.0002667} = 0.0163 \][/tex]
4. Determine the critical value (z*) for a 95% confidence interval:
The critical value for a 95% confidence interval (using a standard normal distribution) is approximately 1.96.
5. Calculate the margin of error (ME):
[tex]\[ ME = z^* \cdot SE = 1.96 \cdot 0.0163 = 0.0319 \][/tex]
6. Construct the confidence interval:
[tex]\[ \text{Lower limit} = (\hat{p}_1 - \hat{p}_2) - ME = 0.0276 - 0.0319 = -0.0043 \][/tex]
[tex]\[ \text{Upper limit} = (\hat{p}_1 - \hat{p}_2) + ME = 0.0276 + 0.0319 = 0.0595 \][/tex]
So, the 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important is:
[tex]\[ -0.0043 \text{ to } 0.0595 \][/tex]
Interpretation:
We are 95% confident that the true difference in the proportion of all working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This interval includes 0, which suggests that there is no statistically significant difference between the proportions of women and men who value job security at the 95% confidence level.
when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?
a. 0
b. 2
c. 4
d. 8
Answer:4
Step-by-step explanation:
an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.
Answer:
75
Step-by-step explanation:
Answer:
5.52
Step-by-step explanation:
this is because if you do
6 * 0.08 it would equal 0.48
then subtract 0.48 from 6
Write the word sentence as an equation. Then solve.
The difference between a number p
and 6 is −14.
Answer:
p - 6 = -14
p = -8
If someone confuses the order, p might be 20, But here I am going to choose p= -8
Step-by-step explanation:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Answer:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Step-by-step explanation:
can someone help please?
Answer: 19
Step-by-step explanation:
In art class, the students were asked to draw a circle inside the square shown in the figure such that each of the sides of the
square is tangent to the circle at its midpoint. A student determined the center of the circle to be C(-2,0) and the radius to be
= 4. Evaluate the student's answer.
A. The student completed the assignment correctly.
B. The student did not complete the assignment correctly. The center is the origin.
C. The student did not complete the assignment correctly. The radius is n = 5.
D. The student did not complete the assignment correctly. The center is located at CC-2,4).
Answer:
a is the correct answer
Find the radius of a circle with area equal to 153.86 square feet.
R = ?
Answer:
7 feet
Step-by-step explanation:
The area of a circle can be found using:
a=3.14*r^2
We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.
153.86=3.14*r^2
Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14
153.86/3.14=3.14*r^2/3.14
153.86/3.14=r^2
49=r^2
Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .
√49=√r^2
√49=r
7=r
The radius is 7 feet
The radius of the circle with an area of 153.86 square feet is approximately 7 feet.
How to determine the radius of a circle with area equal to 153.86 square feet.To find the radius of a circle given its area, you can use the formula:
Area = π * r^2
In this case, we are given the area as 153.86 square feet.
153.86 = π * r^2
To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:
153.86 / π = r^2
Now, take the square root of both sides to find r:
r = √(153.86 / π)
Using a calculator or approximating the value of π as 3.14, we can calculate:
r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7
Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.
Learn more about radius at https://brainly.com/question/27696929
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Answer quick please.
Answer:
V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)
Hope this helps!
:)
Answer:
1
Step-by-step explanation:
How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?
move it 4 places to the left
move it 4 places to the right
move it 5 places to the left
move it 5 places to the right
Answer:
move it 4 places to the left
Step-by-step explanation:
10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.
Hello! I really need help with this problem!
Answer: No, yes, yes, no, yes, no, yes
Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc
Answer:
e
Step-by-step explanation:
Enter the value of the exponential expression 5^0
Answer:
1
Step-by-step explanation:
whenever something is to the power of 0, it equals 1
Evaluate each expression
Use the values a = 5 and b = 3
3(a+b)
(a+b)-7
4(2a+b)
6( a- b )+5
( a + b) ( a -b )
(2a + b ) (2a - b)
3 ( b + a )
4 (b + 2a
Answer:
Answers are all the way to the right
Step-by-step explanation:
3(a+b) 3(5 + 3) 3(8) 24
(a+b)-7 (5 + 3) - 7 8 - 7 1
4(2a+b) 4(2*5 + 3) 4(10 + 3) 4(13) 52
6( a- b )+5 6(5 - 3) + 5 6(2) + 5 12 + 5 17
( a + b) ( a -b ) (5 + 3)(5 - 3) 8(2) 16
(2a + b ) (2a - b) (2*5 + 3)(2*5 - 3) (10 + 3)(10-3) 13(7) 91
3 ( b + a ) 3(3 + 5) 3(8) 24
4 (b + 2a) 4(3 + 2*5) 4(3 + 10) 4(13) 52
If these answers are correct, please make me Brainliest!
в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5
Answer:
A
Step-by-step explanation:
Please answer for a chance to be entered in the iphone 11 pro giveaway!!!
Sponsered by Beyonce Carter !!!!!!!!!!!!!!!!!!!!!
Answer:
5.8<x<6.0 I think
Step-by-step explanation:
why?
What is the set of all x values called? *
The domain of a relation is the set of all the x-terms of the relation.
If an x-term appears twice in a relation, only list in once in the domain.
YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?
Answer:
5/6 of an hour is 50 minutes.
2/3 of an hour is 40 minutes.
0.25 of an hour is 15 minutes.
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit
Answer:
d
Step-by-step explanation:
Answer:
d. Checking account, savings account, money market account, CD
what is f^7 . f^1 please help
Answer:
is f^8
Step-by-step explanation:
Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Answer:
X=2.5
Step-by-step explanation:
14x +1 =36
14x + 1 =36
- 1 = 36
14x = 35
14x / 2 = 35 / 2
x = 2.5
Identify the equation of the function. y=sqrt x-1+3
Answer: A
Step-by-step explanation:
Edg
Given: A = 1 −1 −2 3 B = 1 5 8 −8 C = 1 2 3 4 Solve: AX + B = C X =
Answer:
-5 3, -5 6
Step-by-step explanation:
just did it
Answer:
1st row: [-5 3] 2nd row: [-5 6]
Step-by-step explanation:
Edge 2020
The rule is applied to ΔFGH to produce ΔF"G"H". What are the
coordinates of vertex F" of ΔF"G"H"?
(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)
Answer:
A - (4, –1.5)
Step-by-step explanation: Hope it helps :D
Answer:
Its A
Step-by-step explanation:
Took the quiz on Edgenunity
Can you please help me
Answer:
B 6/13 times 5/12 equals 5/26
Step-by-step explanation:
if the total marbles are 13, then 13 has to be the denominator
they said that 2 orange marbles are selected
then it is 6/13 times 5/13
Hopes this helps
Answer:
I think it is C
Step-by-step explanation:
I am right
Number five Please I really need it
clarissa has 3 pints of ice tea that she divides into 1/2-pint servings. how Many 1/2 -pints servings does she have?
Answer:
6
Step-by-step explanation:
1 pint of tea will produce 2 half pints
So since there are 3 pints of tea it will produce 6 half pints of tea
what is 6x-6 degrees
The expression '6x - 6 degrees' is a linear algebraic function possibly related to geometry, where degrees might denote the measure of an angle.
Explanation:The expression 6x - 6 degrees represents a linear function where x is typically a variable that stands for an unknown value to be determined, or it can represent an input into the function. The term degrees suggests that it may be related to angles in a geometric context. This expression simplifies to 6 times x minus 6 degrees, where the degrees could represent the measurement of an angle in geometry, or possibly a temperature dependent on the context, which is not provided here. When dealing with geometric problems, one often converts these expressions to a standard measurement, such as converting to radians or using decimal degrees for precision.
Drag each tile to the correct box. Not all tiles will be used.
Calculate the interest earned on each simple interest account given the original principal, annual interest rate, and length of time the account
was held. Match each amount to the corresponding account description.
$124.74
$99.66
$105.60
$126.72
$143.50
$106.60
$1,100 at 3.2% for 3 years
$990 at 3.15% for 4 years
$1,025 at 2.8% for 5 years
Answer:
$1,100 at 3.2% for 3 years -> $105.60
$990 at 3.15% for 4 years -> $124.74
$1,025 at 2.8% for 5 years -> $143.5
Step-by-step explanation:
Simple interest formula is:
A = P*(1 + r*t)
where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years
Interest earned is A - P, then:
I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t
If P = $1100, r = 0.032 and t = 3, then:
I = 1100*0.032*3 = $105.6
If P = $990, r = 0.0315 and t = 4, then:
I = 990*0.0315*4 = $124.74
If P = $1025, r = 0.028 and t = 5, then:
I = 1025*0.028*5 = $143.5
Answer:
Picture below
Step-by-step explanation:
What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.
Answer:
60
Step-by-step explanation:
sin(theta) = sqrt(3)/2
On the calculator:
Press shift
Press sin
(It will show sin^-1)
Then enter sqrt(3)/2
Press =
It will give you an output of 60
Step-by-step explanation:
Step 1: Find the answer
To find sine, that means we need to find the y-value where it equals √3/2.
If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2. So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle. The angle that will fit this will be 60 degrees.
On you calculator, you should have a sin and you just type in something like this: sin(60) and it should give you √3/2.
Answer: Option A, 60
What should be true about the divisor (the number you are dividing by) in order for synthetic division to be
pretty straightforward?
Answer:
In order for synthetic division to be pretty straightforward, the divisor must be of the first degree (that is, the power of x must be exactly one.) and must have the binomial form x - a.
Unlike Long Division which makes use of the polynomials given directly, Synthetic Division makes use of the coefficients of this polynomials.
find the distance bewtween the points (3,3) and (-1,-2)
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]\sqrt{(3-(-1))^2+(3-(-2))^2}=\sqrt{16+25}=\sqrt{41}[/tex]
Hope this helps!
$5 PAYPAL + BRAINLIEST TO ANSWER THS
1) Please Rewrite this quadratic equation to
Standard Form: 3x^2=2x +5
2) Using your answer from 1): Assign values of a, b and c based on the
Standard Form of a Quadratic Equation
3) Find the value of the discriminant by substituting a,b and c from 2) and evaluating **Discriminant: ( )^2-4( )( ) = ?? **
4) Based on the discriminant, what type of solutions can we expect for this quadratic equation? Use complete sentences and proper grammar
IF ANSWERED PROPERLY I WILL MESSAGE YOU ASKING FOR YOUR PAYPAL EMAILING ADDRESS THANK YOU!
Answer:
Quadratic Equation:
[tex]3x^2=2x +5[/tex]
[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]
From the standard form of a Quadratic Function, we get:
[tex]a=3,\:b=-2,\:c=-5[/tex]
Discriminant:
[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]
[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]
[tex]\Delta=64[/tex]
From the discriminant, we conclude that the equation will have two real solutions.
State that:
[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]
[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]
[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]
By the way, solving the equation given:
[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]
[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]
[tex]$x=\frac{2\pm8}{6}$[/tex]
[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]
[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]