Question

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 he wishes the estimates to be within three percentage points with a 95% confidence, assuming that

a) he uses the estimate of 22.7% male and 19.1% female from a previous year?

b) he does not use any prior estimates?

Answer #1

a)

Proportion for sample 1, p̂₁ = 0.227

Proportion for sample 2, p̂₂ = 0.191

Margin of error, E = 0.03

Confidence Level, CL = 0.95

Significance level, α = 1 - CL = 0.05

Critical value, z = NORM.S.INV(0.05/2) = 1.96

Sample size, n = (z² * (p̂₁*(1-p̂₁) + p̂₂*(1-p̂₂)) / E²

= 1408.54 = **1409**

b)

Let Proportion for sample 1, p̂₁ = 0.5

Proportion for sample 2, p̂₂ = 0.5

Margin of error, E = 0.03

Confidence Level, CL = 0.95

Significance level, α = 1 - CL = 0.05

Critical value, z = NORM.S.INV(0.05/2) = 1.96

Sample size, n = (z² * (p̂₁*(1-p̂₁) + p̂₂*(1-p̂₂)) / E²

= 2134.22 = **2134**

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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 four percentage points with 90%
confidence, assuming that
(a) she uses the estimates of 22.8% male and 19.4% female
from a previous year?
(b) she does not use any prior estimates?

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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 two percentage points with 90%
confidence, assuming that
(a) she uses the estimates of 21.8% male and 19.3% female from a
previous year?
(b) she does not use any prior estimates?

a physical therapist wants to determine the difference
in the proportion of men and women who participate in regualr
sustained physical activity. what sample size should be obtained if
he wishes the estimate to be within two percentage points witb 90%
confindence, assuming that,
a) he uses the estimates of 21.3% male and 18.2% female from
previous year
b) he does not use any prior estimates

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
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the estimate to be within two percentage points with 90%
confidence, assuming that
(a) he uses the estimates of 21.9% male and 19.8% female from
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(b) he does not use any prior estimates?
(a) n= __ (Round up to the nearest whole number.)
(b) n=___(Round up...

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