Fitness activities change as people get older, and occasionally people who did e
ID: 3155323 • Letter: F
Question
Fitness activities change as people get older, and occasionally people who did exercise at least twice a week start to exercise less as they age. In a local survey of 100 adults over 40 years old, a total of 15 people indicated that they participated in a fitness activity at least twice a week. Estimate at a 95% level the proportion of adults over 40 years old who participate in fitness at least twice a week. What is the point estimator for the population proportion of 40+ year olds who participate in fitness activity at least twice a week?
Explanation / Answer
The 95% c.i=Ps+-Zsqrt[Ps(1-Ps)/N], where Ps is sample proportion, Pu is population proportion, N is sample size and Z is z critical score at alpha=0.05.
=15/100+-1.96sqrt[15/100(1-15/100)/100]
=0.08 to 0.22
The point estimator is phat=15/100=0.15
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