End of Section Problem 8.32 What proportion of commercial airline pilots are mor

Question

End of Section Problem 8.32 What proportion of commercial airline pilots are more than 40 years of age? Suppose a researcher has access to a list of all pilots who are members of the Commercial Airline Pilots Association. If this list is used as a frame for the study, she can randomly select a sample of pilots, contact them, and ascertain their ages. From 89 of these pilots so selected, she learns that 48 are more than 40 years of age. Construct an 85% confidence interval to estimate the population proportion of commercial airline pil who are more than 40 years of age Appendix A Statistical Tables (Round the answers to 3 decimal places.) Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

Sol:

sample proportion=p^=x/n=48/89=0.539

z crit for 85%=1.44

85% confidence interval for population proportion is

sample prop-zcritsqrt(sample prop(1-sample prop)/n),sample prop+zcritsqrt(sample prop(1-sample prop)/n)

0.539-1.44sqrt(0.539(1-0.539)/89),0.539+1.44sqrt(0.539(1-0.539)/89)

=0.463,0.615

0.463<p<0.615

WE ARE 85%CONFIDENT THAT THE POPULATION PROPORTION LIES IN BETWEEN

0.463 AND 0.615

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