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2 years ago

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Need the correct answer to this question please

1 answer:

Anna35 [415]2 years ago

6 0

Answer:

3x-10=7x+5

Step-by-step explanation:

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A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so $z = 1.645$ .

Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2$

$n = 53.1$

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence $\pi = 0.05$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0

2 years ago

Identify the angle relationship, then solve for x*

goblinko [34]

Answer:

14°

Step-by-step explanation:

(7x-1)°+(6x-1)°=180°(sum of angles in a straight line/being linear pair)

or,7x-1°+6x-1°=180°

or,13x-2°=180°

or,13x=182°

or,x=182°/13

or,x=14°

3 0

3 years ago

Solve for g: C = 1/2gk

sweet-ann [11.9K]

Answer:

G = $\frac{C(2)}{k}$

Step-by-step explanation:

C = 1/2gk

First you want to multiple both sides by 2 to get rid of that fraction and you get

C (2) = gk then you divide both sides by k to isolate the g and your left with

G= $\frac{C(2)}{k}$

Hope this helps

5 0

3 years ago

How do you do to find the percent of something?

patriot [66]

Divide the numerator by the denominator, and then multiply by 100 :)

3 0

3 years ago

Read 2 more answers

How close is the t-value to the corresponding z-value (at the bottom of the column for<br> d.f.= ∞)?

MrMuchimi

Yoy multiply 55 and 99 and get 5000 and than you times it an get your answer

3 0

3 years ago