A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99​% ​confidence, assuming that ​(a) she uses the estimates of 22.6​% male and 18.1​% female from a previous​ year

Answers

Answer 1

Answer:

A sample size of 1380 should be obtained.

Step-by-step explanation:

Minimum sample size:

The minimum sample size is of:

[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]

In which z is the critical value, related to the confidence level, E is the desired margin of error, [tex]p_1[/tex] and [tex]p_2[/tex] are the proportions.

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

Estimates of 22.6​% male and 18.1​% female from a previous​ year

This means that [tex]p_1 = 0.226, p_2 = 0.181[/tex].

Within 3 percentage points, minimum sample size:

This is n for which [tex]E = 0.03[/tex]. So

[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]

[tex]n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)[/tex]

[tex]n = 1379.4[/tex]

Rounding up:

A sample size of 1380 should be obtained.


Related Questions

Pls help me pls pls I am soo bad at math

Answers

Answer:

Length = 40

Height = 20

Step-by-step explanation:

If you multiply 40 x 20, it equals 800

20 is also half of 40 as well.

Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape​

Answers

Answer:

circle

radius

infinite

Step-by-step explanation:

have a wonderful day <3

If z is the complex number then IzI = 5 represents the equation of the circle.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

The equation of the circle.

IzI = 5.

The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.

And the modulus represents the radius of the circle.

Therefore, the modulus represents the radius of the circle.

To learn more about the circle;

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An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer

Answers

Answer:

2b + 1.5c = 500

Step-by-step explanation:

Cost per brownie = $2

Cost per cookie = $1.50

Number of brownie = b

Number of cookie = c

NEED ANSWERS FAST!!!! If there are 100 students in a room and 40 of them are boys, how many are girls?

Answers

Answer:

60

Step-by-step explanation:

100 - 40 =  60

Common Math

60 girls ( 100 students total - minus the 40 boys, leaves 60 students remaining who must be girls)

Barry can run 3/8
of a race in 1/2 hour.
Enter the amount of the race Barry can run in 1 hour.

Answers

Answer:

6/8

Step-by-step explanation:

we need to calculate 3/8 + 3/8 = 6/8

Answer:

3/4

Step-by-step explanation:

1 hour is 2 times 1/2 hour.

2 * 3/8 = 6/8 = 3/4

Blancos y mestizos se ubican en​

Answers

Answer:

Se ubican en Chile

What's the value of 2. X/10=2

Answers

Answer:

x = 20

Step-by-step explanation:

x/10 = 2 multiply both sides of the equation by ten ↓

10x x/10 = 10 x 2 reduce the numbers with the greatest common factor 10 ↓

x = 10 x 2 multiply the numbers ↓

x = 20

Parallel lines meet to form an acute angle true or falsehood

Answers

I believe it’s true sorry if I’m incorrect though

Answer:

false, parallel lines will never meet.

Step-by-step explanation:

(5x + 10) + (2x -3) =

Answers

x = -1 :)

First simplify. Then do
7x + 7 =
7x = -7
x = -1

Answer:

7x + 7

Step-by-step explanation:

How many times longer I s on be mile that one foot

Answers

Answer:

5,280 times

hope this helps

have a good day :)

Step-by-step explanation:

11. You earn $500 in 80 hours. At that rate. how much would you eam in 200 hours?

Answers

Answer:

Should be 1250$

Answer:

1250

Step-by-step explanation:

First we divide 500 divide by 80 that will give you 6.25

So then you multiply 6.25 by 80 to get sure then if you are sure, yo will multiply 6.25 by 200 that will give you, 1,250.

Mixed Applications: Choose the best strategy

Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.

Use a formula

Draw a Diagram

Write a Number Sentence

Guess & Check

Answers

Where is the problem

A flea is jumping around on a number line

Answers

a is 5 for both
b is -4 for both
c is 3 or -3
d is -7 or 7

which choice is equivalent to the product below when x>/0
√2x^2 ·√4x

Answers

the answer is: 2x sqrt 2x

The expression √(2x²) · √(4x) is equivalent to the expression 2x√2x. Then the correct option is D.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expressions are given below.

√(2x²) and √(4x)

Then the product of the expressions √(2x²) and √(4x) will be

⇒ √(2x²) · √(4x)

The factor of 2x² will be

2x² = 2 · x · x

The factor of 4x will be

4x = 2 · 2 · x

Substitute in the expression, then the expression will be

⇒ √(2 · x · x) · √(2 · 2 · x)

We know that √x² = x and √4 = 2. Then the expression will be

⇒ x√2 · 2√x

⇒ 2x√2x

Thus, the expression √(2x²) · √(4x) is equivalent to the expression 2x√2x.

Then the correct option is D.

More about the equivalent link is given below.

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solve the inequality

Answers

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12

x<3

what is y = 3 x + 2 =

Answers

Answer:

y =3x+2

Step-by-step explanation:

2) r = 4/4 cm
Calculate the diameter of the circle

Answers

Answer:

radius is 4/4 cm meaning its 1 cm, and since diameter is twice the radius its 2cm.

Step-by-step explanation:

Diameter is twice the radius

can someone help me solve for x and show the work please

Answers

Answer:

D. -10

Step-by-step explanation:

The sum of a triangle = 180°, therefore,

64° + 63° + x + 63 = 180°

Add like terms

x + 190° = 180°

Subtract 190 from each side

x + 190 - 190 = 180 - 190

x = -10

The product of 8 and the sum of a number m and 2 is 16

Answers

Step-by-step explanation:

8(m + 2)= 16

8m + 16 = 16

8m = 0

m = 0

area of the parallelogram

Answers

Answer:

48[tex]m^{2}[/tex]

Step-by-step explanation:

Area = base x height

Area = 8m x 6m

Area = [tex]48m^{2}[/tex]


Please ASAP please

Answers

Answer:

A)3.125hr

B)53.325mi

Step-by-step explanation:

speed=distance/time

an hour and 15min=1.25hr

32/1.25=25.6mi/hr

80/25.6=3.125hr

B)

2hr and 5min=2+5/60=2.083hr

2.083x25.6=53.325mile

Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R

Answers

Answer:

Your answer is R+92=180

Step-by-step explanation:

Supplementary means angles that add up to 180, so R+92=180 has to be correct.

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.3. pls give me brainliest

0.3 Is your answer your welcome

exactly 12 times as many females as males attended which learning activity?? mathh

Answers

the answer is writing since 18 times 12 is 216

help! Is this correct? If not can i please have a correction?

Answers

The answers are correct, however in the first box it should be 22y instead of just 22. Same with the 6 it should be 6x.

Consider the equation 5 +x=n.
What must be true about any value of x if n is a negative number?
Explain your answer.
Provide an example that would satisfy this condition.
Explain how you know your equation is correct.

Answers

Answer:

It's C.

Step-by-step explanation:

Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.

Which towns are decreasing in size?

Answers

Answer:

I don't know how about you be more specific...

Like what country of what continent of what planet of what galaxy of what galaxy cluster of what universe of what dimension of what multiverse of what time?

You have to give more information on what towns

Tara bought a silver coat rack originally priced at $375 but on sale for 20% off. After 12% sales tax, what was the total cost?

Answers

Answer:

$336

Step-by-step explanation:

1 - 20% = .8

1 * 12% = 1.12

375 * .8 * 1.12 = 336

The total cost was of $336.

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

This question is solved using percentages/proportions.

The original price is of $375.On sale for 20% off, which means that you pay 1 - 0.2 = 0.8 of the price.Sales tax of 12%, which means that the cost is also multiplied by 1 + 0.12 = 1.12.

Thus, the total cost will be given by:

[tex]C = 375 \times 0.8 \times 1.12 = 336[/tex]

The total cost was of $336.

A similar question is given at https://brainly.com/question/8719621

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
What is the alternative hypothesis for this study?
Worker productivity is higher with automatic dispensers.Automatic dispensers fill cups faster than manual dispensers. Worker productivity is lower with automatic dispensers.There is no difference in worker productivity between restaurants with automatic and manual dispensers.
What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal)
When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
What can be concluded from this study at a 1% significance level?
There is no difference in worker productivity between restaurants with automatic and manual dispensers.Worker productivity is higher with automatic dispensers. Automatic dispensers fill cups faster than manual dispensers.Worker productivity is lower with automatic dispensers.

Answers

Answer:

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

The Rank for  Group1  is 115.5 and Group 2 is 55.5.

Conclusion is that Worker productivity is higher with automatic dispensers.

Step-by-step explanation:

The null and alternative hypotheses are

H0: Group1 ≤ Group2   against the claim

Ha: Group1 > Group2

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

Calculations:

                                        Group1               Group2

Sample Mean   x `       139.22               114.67

Sample size n                   9                         9

Sample SD                     18.21                  11.937

Rank                               115.5                       55.5

U                                      10.5                          70.5

The Rank for  Group1  is 115.5 and Group 2 is 55.5.

1. H0 hypothesis

As p-value < alpha  and Z lies in the critical region, H0 is rejected.

The randomly selected value of Group1's population is considered have greater productivity  than the randomly selected value of Group2's population.

2. P-value

The p-value equals 0.0046.

3. Test statistics

Z= u-μ+c/σ

The critical region for one tailed test for z at 0.01 significance level is

z > 2.33.

The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326

4. Conclusion

As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that

Worker productivity is higher with automatic dispensers.

Please Help Me with this guys!! i need the answer to be typed please i cant see pics my school blocked them on my laptop oofie so please type it out

Answers

Answer:

Give me a sec and ill answer in this comments k

Step-by-step explanation:

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