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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 21.4% male and 18.7% female from a previous year? (b) she does not use any prior estimates? (a) n= (Round up to the nearest whole number.)

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 21.4% male and 18.7% female from a previous year? (b) she does not use any prior estimates? (a) n= (Round up to the nearest whole number.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Sample Size Determination for Physical Activity Study** A physical therapist aims to assess the difference in the proportion of men and women who engage in regular sustained physical activity. The goal is to determine the appropriate sample size needed to achieve an estimate with a margin of error of three percentage points at a 99% confidence level. Two scenarios are considered: 1. **Using Prior Estimates:** - Previous year estimates are 21.4% for males and 18.7% for females. - Required sample size calculation: \( n = \_\_\_ \) (Round up to the nearest whole number.) 2. **Without Prior Estimates:** - Sample size should be determined without using any previous data. The task involves calculating the sample sizes required for both scenarios to ensure the estimates meet the specified precision and confidence criteria.
Transcribed Image Text:**Sample Size Determination for Physical Activity Study** A physical therapist aims to assess the difference in the proportion of men and women who engage in regular sustained physical activity. The goal is to determine the appropriate sample size needed to achieve an estimate with a margin of error of three percentage points at a 99% confidence level. Two scenarios are considered: 1. **Using Prior Estimates:** - Previous year estimates are 21.4% for males and 18.7% for females. - Required sample size calculation: \( n = \_\_\_ \) (Round up to the nearest whole number.) 2. **Without Prior Estimates:** - Sample size should be determined without using any previous data. The task involves calculating the sample sizes required for both scenarios to ensure the estimates meet the specified precision and confidence criteria.
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