A survey found that 31 of 60 randomly selected women and 38 of 73 randomly selected men follow a regular exercise program. Find a 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program.

Answers

Answer 1

Answer:

95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program

(-0.1740 , 0.1672)

Step-by-step explanation:

Step(i):-

Given A survey found that 31 of 60 randomly selected women

First sample proportion

                [tex]p_{1} = \frac{x_{1} }{n_{1} } = \frac{31}{60} = 0.5166[/tex]

Second sample proportion

               [tex]p_{2} = \frac{x_{2} }{n_{2} } = \frac{38}{73} = 0.520[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step(ii):-

95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program

[tex]((p_{1} ^{-}-p^{-} _{2} - Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ), (p_{1} ^{-}-p^{-} _{2} +Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ))[/tex]

where

[tex]Se(p_{1} - p_{2} ) = \sqrt{\frac{p_{1} (1-p_{1} )}{n_{1} }+\frac{p_{2}(1-p_{2} }{n_{2} } }[/tex]

[tex]Se(p_{1} - p_{2} ) = \sqrt{\frac{0.5166 (1-0.5166 )}{60 }+\frac{0.520(1-0.520 }{73 } } = 0.08706[/tex]

95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program

[tex]((p_{1} ^{-}-p^{-} _{2} - Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ), (p_{1} ^{-}-p^{-} _{2} +Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ))[/tex]

((0.5166-0.520-1.96(0.08706) , 0.5166-0.520+1.96(0.08706))

(-0.1740 , 0.1672)

Final answer:-

95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program

(-0.1740 , 0.1672)


Related Questions

just need answeer....​

Answers

Answer:

16 degrees

Because 180-164= 16

Answer:

16

Step-by-step explanation:

It would be 180 without the line so if both sides were put together it would have to be 180 so you would do 180-164= 16

Identify the equation that has a slope of -3 and a y-intercept of -9.

y = 3x + 9

y = -9x - 3

y = 9x + 3

y = -3x - 9

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

y=mx+b

^ That is the slope intercept form

M - Slope

Y - Y value

X - X value

B - Y intercept

We know that the slope is -3 and the y intercept is -9, so the equation should be:

y = -3x - 9 (The fourth answer)

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

x2 + 3x – 9x – 27 = (x + 3)(x – 9)
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
x2 + 3x – 6x – 27 = (x + 3)(x – 6)

Answers

Answer:

x2 + 9x – 3x – 27 = (x + 9)(x – 3)

Step-by-step explanation:

The four-term polynomial and factored form of x2 + 6x – 27 is x^2 + 9x - 3x - 27 = (x - 3)(x + 9)

What is factorization?

Factorization involves splitting a function into several factors

The polynomial is given as:

x^2 + 6x - 27

Expand the expression

x^2 + 9x - 3x - 27

Factorize the expression

x(x + 9) - 3(x + 9)

Factor out x + 9

(x - 3)(x + 9)

So, we have:

x^2 + 9x - 3x - 27 = (x - 3)(x + 9)

Hence, the four-term polynomial and factored form of x2 + 6x – 27 is x^2 + 9x - 3x - 27 = (x - 3)(x + 9)

Read more about factorization at:

https://brainly.com/question/11579257

Divide. Write the quotient in lowest terms.
1 1/4 divided by 1 2/5

Whoever answers first and accurately will mark brainliest!

Answers

Answer:

25/28

Step-by-step explanation:

convert to mixed numbers 5/4 divided by 7/5

Then keep, change, and flip to get your answer. Hope this helps. Good Luck.

Please help-
And please explain if you know how to-

Answers

Answer:

1 is 2/44=40/88

2 is 24/50=48/25

3 is 50/30=100/60

4 is 41/20.5=19/2

Step-by-step explanation:

your just multiplying or dividing by 2

pls mark braliest

Answer:

1: 880, 2: 24, 3: 30, 4: 82

Step-by-step explanation:

1: If we divide by 2 we get 20. Then multiply 44 x 2 = 880

2: 25 is half of 50. So then, we divide 48 by 2 = 24

3: 50 x 2 = 100. Then, we divide 60 by 2 becasue it is reverse; 60÷2 = 30

4: 38 divided by 19 = 2. Then we multiply 41 by 2 becasueit is reversed. 41 x 2=82

Brittany works 21.5 hours every week. If she earns $8.50 per hour, how much does she earn in one week?

Answers

Answer:

182.75

Step-by-step explanation:

21.5x8.50=182.75

Which expression can be used to find mU?
19.5
7.5
vo

Answers

Answer:

C

Step-by-step explanation:

I know because I know that how

distribute and simplify

Answers

Answer:

440/5-100

Step-by-step explanation:

20(4 2/5 - 5)

Donna rides her bike at a rate of 19/2 miles per hour how many miles can Donna travel in1/3 of an hour

Answers

Answer:

3 1/6 miles

Step-by-step explanation:

Rate(Speed )= Distance/Time

From the Question, we are to find the distance.

The formula for Distance = Rate × Time

Rate = 19/2 mile per hour

Time = 1/3 of an hour.

Distance = 19/2 miles per hour × 1/3 hour

= 19/6 miles

= 3 1/6 miles

Donna can travel 3 1/6 miles in 1/3 of an hour

how do i respond to my brother....he sent this to me
T^T

Answers

Say “What the hell did you send me”

thissssssssssssssssssssssssss:

A map has a scale of 2 centimeters = 15 kilometers. If
the distance between two cities on the map is 9
centimeters, what is the actual distance between the
cities?

Answers

Answer:

67.5

Step-by-step explanation:

hi pls help ill give brainly if right​

Answers

Answer: (4.5)(5)(−2) = -45

answer is the last one  −45

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

4.5 times 5 is 22.5, then multiplied by -2 is -45

hope this helped :)

Alexis sells season tickets to soccer games. The season tickets cost $225.75. She makes a commission of 16% on each sale. Last month she sold 42 season tickets. What did she earn for the month?

Answers

Answer:

She earned $1517.04 last month

Step-by-step explanation:

Let us solve the question

∵ Alexis sells season tickets to soccer games

∵ The season tickets cost $225.75

∵ She makes a commission of 16% on each sale

→ Multiply 225.75 by 16% to get her commission per ticket

∵ 16% = 16 ÷ 100 = 0.16

∴ Her commission per ticket = 0.16 × 225.75

Her commission per ticket = 36.12 dollars

∵ Last month she sold 42 season tickets

∴ The number of tickets = 42

→ Multiply her commission per ticket by the number of tickets

∵ Her total commission = 42 × 36.12

∴ Her total commission = 1517.04 dollars

She earned $1517.04 last month

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Answers

Answer:

id say the big triangle and the rectangle

Step-by-step explanation:

sorry if im wrong

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Answers

Answer:

The inputs to this formula are:

The x-coordinate of the point: x0 = -11

The y-coordinate of the point:  y0 = 4; and

The slope of the line: m = -2

The equation of this line in point-slope form will be:

y-4= -2(x+11).

Step-by-step explanation:

Hope this helps! ;)

29=6i+5


thank you!!!

Answers

Answer:

i = 4

Step-by-step explanation:

29=6i+5 (Given)

-6i = -24

i = 4

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Answers

Answer:

0.125....................

What are three arithmetic means between 23 and 67?

Answers

Answer:

um im not sure but u seem smart enough to do this

Step-by-step explanation:

There are 80 seats in the small screen.
One quarter of these seats are booked.
What is one quarter of 80?

Answers

One quarter of 80 is 20

Write an equation for each problem. Then solve.
16. Photo Plus charges $2 for each print plus
a $6 processing fee. Picture Time charges
$3 for each print plus a $4 processing fee.
For what number of prints is the price the
same at both stores?

Answers

Answer:

The price is the same at both stores for 2 prints.

Step-by-step explanation:

Equations

Let's set the variable

x = number of photo prints

Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:

PP = 6 + 2x

Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:

PT = 4 + 3x

It's required to find the number of prints that make both stores charge the same. Equating both functions:

6 + 2x = 4 + 3x

Subtracting 2x and 4:

x = 2

The price is the same at both stores for 2 prints.

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Graph the following equations using the given slope and y-intercept.

Answers

Answer:

I hope I'm right in my answer to that

This one is timed. Please help!!!!!!

Answers

Answer:

n=2

Step-by-step explanation:

Answer:

the value of n is 2 llalala

Divide:

16)160

A. 10

B. 11

C. 16

D. 26

E. 100

Answers

Answer:

10

Step-by-step explanation:

your welcome...............

3 números consecutivos es igual a 381

Answers

This is what he is asking for anybody that does not know

3 numbers nsecutive numbers equals 381

Write the new function if the parent function f(x)=12x-8 is translated 4 units down.

Answers

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what is the slope intercept form of the equation 12x-4y=-20 y=3x+5 y=-3x-5 y=12x-20 y=20y-12x

Answers

Answer:

3x+y=16

x+6y=5

6x+2y=8

Step-by-step explanation:

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Answers

Answer:

0.5 cups

Step-by-step explanation:

Alissa has scored 490 points on her science tests so far this semester To get an A she must score at least 630 points she has two tests remaining what is the minimum total amount of points she must score if she wishes to get an A

Answers

Answer:

140 points minimum

Step-by-step explanation:

Here, we want to calculate the minimum total score she must have on the remaining two tests

To get the minimum total score, we must subtract what she has scored already from her target

Mathematically, that would be;

630 - 490 = 140

____% of 80 = 68

Also could you explain the steps too?

Answers

Solution:

What % of 80 is 68?

P% of 80 is 68

Equation: P% * X = Y

Solving our equation for P
P% = Y/X
P% = 68/80
p = 0.85

Convert decimal to percent:
P% = 0.85 * 100 = 85%

A cyclist rides a bike 18 miles in 3 hours. If riding at a constant rate, how far can the cyclist ride in 1 hour

Answers

Answer:

6 miles per hour

Step-by-step explanation:

18 divided by 6 = 3

Answer:

6

Step-by-step explanation:

You can use VERY simple division here.

18/3 because of a constant rate of change is the answer for your one hour

of which is a simple and commonly known answer considering the fact it comes out as an even integer (6)

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