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Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise more regularly than men. A random sample of 200 women and 150 men are interviewed and the results are shown in table below Men Women

Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise more regularly than men. A random sample of 200 women and 150 men are interviewed and the results are shown in table below Men Women

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
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Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise more regularly than men. A random sample of 200 women and 150 men are interviewed and the results are shown in table below (b) Men Women Exercise regularly Do not exercise regularly Total 88 130 62 70 150 200 (i) Construct a 95% confidence interval for the difference in the proportion of women and men who exercise regularly. Interpret the interval. (ii) Conduct a test to determine if women exercise more regularly than men at 5% level of significance. (iii) Calculate the power of the test in part (b) (ii) if 65% of the women and 55% of the men exercise regularly. Use a=0.05.
Transcribed Image Text:Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise more regularly than men. A random sample of 200 women and 150 men are interviewed and the results are shown in table below (b) Men Women Exercise regularly Do not exercise regularly Total 88 130 62 70 150 200 (i) Construct a 95% confidence interval for the difference in the proportion of women and men who exercise regularly. Interpret the interval. (ii) Conduct a test to determine if women exercise more regularly than men at 5% level of significance. (iii) Calculate the power of the test in part (b) (ii) if 65% of the women and 55% of the men exercise regularly. Use a=0.05.
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