Mathematics, 03.12.2019 06:31 anhthule1011

Aphysical 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 he wishes the estimate to be within two percentage points with 90% confidence, assuming that
(a) he uses the estimates of 21.6% male and 19.2% female from a previous year?
(b) he does not use any prior estimates?

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Answer from: que40

Step-by-step explanation:

The standard normal distribution represents a normal curve with mean 0 and standard deviation 1. Thus, the parameters involved in a normal distribution are mean(μ) and standard deviation(σ)

The general formula for the sample size is given below:

$n=p^{'}(1-p^{'})(\frac{Z_{\frac{a}{3} } }{E} )^{2}$

The formular for finding sample size is given as:

$n=(\frac{Z_{\frac{a}{3} } }{E} )^{2} * (p_{1}(1-p_{1})+p_{2}(1-p_{2}))$

a.)

it is given that $E=±0.02, p^{'}_{1}=0.216, p^{'}_{2}=0.192$

The confidence level is 0.90

For (1 - ∝) = 0.90

∝=0.10; ∝/2 = 0.05

frm the standard normal table, the required $Z_{0.05}$ value for 90% confidence is 1.645. The sample size is as shown:

$n=(\frac{Z_{\frac{a}{3} } }{E} )^{2} * (p_{1}(1-p_{1})+p_{2}(1-p_{2}))$

= $n=(\frac{1.645}{0.05} )^{2} * (0.216(1-0.216)+0.192(1-0.192))\\=351.22≅352$

The required sample size is 352 (nearest whole number)

b.)

it is given that $E=±0.02, p^{'}_{1}=0.5, p^{'}_{2}=0.5$

The confidence level is 0.90

For (1 - ∝) = 0.90

∝=0.10; ∝/2 = 0.05

frm the standard normal table, the required $Z_{0.05}$ value for 90% confidence is 1.645. The sample size is as shown:

$n=(\frac{Z_{\frac{a}{3} } }{E} )^{2} * (p_{1}(1-p_{1})+p_{2}(1-p_{2}))$

= $n=(\frac{1.645}{0.05} )^{2} * (0.5(1-0.5)+0.5(1-0.5))\\=541.205≅542$

The required sample size is 542 (nearest whole number)

Answer from: Quest

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

Answer from: Quest

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

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