Stanford University conducted a study of whether running is healthy for men and women over age5050. During the first eight years of the study,7.6%7.6%of the683683members of the5050-Plus Fitness Association died. We are interested in the proportion of people over5050who ran and died in the same eight-year period.

1. Define the random variablesXXandPPin words.

		XXisthe number of households in the surveywhere women make the majority of the purchasing decisions.PPis the population proportion of households where women make the majority of the purchasing decisions.
		XXisthe number of people over5050who ran and died in the same eight-year period.PPis the population proportion of people over5050who ran and died in the same eight-year period from the sample of683683members of the5050-Plus Fitness Association.
		XXisthe number of people over5050who ran and died in the same eight-year period.PPis the estimate of proportion of people over5050who ran and died in the same eight-year period from the sample of683683members of the5050-Plus Fitness Association.
		XXisthe number of people over5050who ran and died in the same eight-year period from the sample of683683members of the5050-Plus Fitness Association.PPis the population proportion of people over5050who ran and died in the same eight-year period.
		XXis the population proportion of people over5050who ran and died in the same eight-year period from the sample of683683members of the5050-Plus Fitness Association.PPisthe number of people over5050who ran and died in the same eight-year period.

1. Which distribution should you use for this problem? Explain your choice.

		PN(0.076,(0.076)(0.924)683)PN0.076,0.0760.924683, since a normal distribution can be used to approximate a binomial distribution.
		PN(0.076,(0.076)(0.076)683)PN0.076,0.0760.076683, since a normal distribution can be used to approximate a binomial distribution.
		PB(0.076,(0.076)(0.924)683)PB0.076,0.0760.924683, since a binomial distribution can be used to approximate a normal distribution.
		PB(52,0.076)PB52,0.076, since a binomial distribution can be used to approximate a normal distribution.
		PN(52,(0.076)(0.924)683)PN52,0.0760.924683, since a normal distribution can be used to approximate a binomial distribution.

1. Construct a93%93%confidence interval for the population proportion of people over5050who ran and died in the same eight-year period. Enter your answer in interval notation. Round your answer to four decimal places. Do not round any intermediate calculations.
2. Explain what a "93%93%confidence interval" means for this study.

		If we took repeated samples of people over5050who ran over eight years, approximately93%93%of the samples would produce the same confidence interval.
		If we took repeated samples of people over5050who ran over eight years, approximately93%93%of the confidence intervals calulated from those samples would contain the true value of the population proportion of people over5050who ran and died in the same eight-year period.
		If we took repeated samples of people over5050who ran over eight years, approximately93%93%of the confidence intervals calulated from those samples would contain the sample proportion of people over5050who ran and died in the same eight-year period.
		If we took repeated samples of people over5050who ran over eight years, the sample proportionof people over5050who ran and died in the same eight-year period would equal the population proportion in approximately93%93%of the samples.