Stanford University conducted a study of whether running is healthy for men and women over age50 During the first eight years of the study,5 3 of the780members of the50Plus Fitness Association died We are interested in the proportion of people over50who ran and died in the same eight year period Define the random variablesXandPin words XXisthe number of people over50who ran and died in the same eight year period Pis the population proportion of people over50who ran and died in the same eight year period from the sample of780members of the50 Plus Fitness Association Xisthe number of people over50who ran and died in the same eight year period Pis the estimate of proportion of people over50who ran and died in the same eight year period from the sample of780members of the50 Plus Fitness Association Xisthe number of households in the surveywhere women make the majority of the purchasing decisions Pis the population proportion of households where women make the majority of the purchasing decisions Xis the population proportion of people over5050who ran and died in the same eight year period from the sample of780members of the50 Plus Fitness Association Pisthe number of people over50who ran and died in the same eight year period Xisthe number of people over50who ran and died in the same eight year period from the sample of780members of the50 Plus Fitness Association P is the population proportion of people over50who ran and died in the same eight year period Which distribution should you use for this problem Explain your choice PN(0 053,(0 053)(0 947)780)PN0 053,0 0530 947780, since a normal distribution can be used to approximate a binomial distribution PN(0 053,(0 053)(0 053)780)PN0 053,0 0530 053780, since a normal distribution can be used to approximate a binomial distribution PB(0 053,(0 053)(0 947)780)PB0 053,0 0530 947780, since a binomial distribution can be used to approximate a normal distribution PB(42,0 053)PB42,0 053, since a binomial distribution can be used to approximate a normal distribution PN(42,(0 053)(0 947)780)PN42,0 0530 947780, since a normal distribution can be used to approximate a binomial distribution Construct a93 confidence interval for the population proportion of people over50who 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 Explain what a 93 confidence interval means for this study If we took repeated samples of people over50who ran over eight years, approximately93 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 over50who ran over eight years, approximately93 of the confidence intervals calulated from those samples would contain the sample proportion of people over50who ran and died in the same eight year period If we took repeated samples of people over50who ran over eight years, approximately93 of the samples would produce the same confidence interval If we took repeated samples of people over50who 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 of the samples

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Stanford University conducted a study of whether running is healthy for men and women over age50. During the first eight years of the study,5.3%of the780members

Stanford University conducted a study of whether running is healthy for men and women over age50. During the first eight years of the study,5.3%of the780members of the50Plus Fitness Association died. We are interested in the proportion of people over50who ran and died in the same eight-year period.

Define the random variablesXandPin words.

		XXisthe number of people over50who ran and died in the same eight-year period.Pis the population proportion of people over50who ran and died in the same eight-year period from the sample of780members of the50-Plus Fitness Association.
		Xisthe number of people over50who ran and died in the same eight-year period.Pis the estimate of proportion of people over50who ran and died in the same eight-year period from the sample of780members of the50-Plus Fitness Association.
		Xisthe number of households in the surveywhere women make the majority of the purchasing decisions.Pis the population proportion of households where women make the majority of the purchasing decisions.
		Xis the population proportion of people over5050who ran and died in the same eight-year period from the sample of780members of the50-Plus Fitness Association.Pisthe number of people over50who ran and died in the same eight-year period.
		Xisthe number of people over50who ran and died in the same eight-year period from the sample of780members of the50-Plus Fitness Association.P is the population proportion of people over50who ran and died in the same eight-year period.

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

		PN(0.053,(0.053)(0.947)780)PN0.053,0.0530.947780, since a normal distribution can be used to approximate a binomial distribution.
		PN(0.053,(0.053)(0.053)780)PN0.053,0.0530.053780, since a normal distribution can be used to approximate a binomial distribution.
		PB(0.053,(0.053)(0.947)780)PB0.053,0.0530.947780, since a binomial distribution can be used to approximate a normal distribution.
		PB(42,0.053)PB42,0.053, since a binomial distribution can be used to approximate a normal distribution.
		PN(42,(0.053)(0.947)780)PN42,0.0530.947780, since a normal distribution can be used to approximate a binomial distribution.

Construct a93%confidence interval for the population proportion of people over50who 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.
Explain what a "93%confidence interval" means for this study.

		If we took repeated samples of people over50who ran over eight years, approximately93%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 over50who ran over eight years, approximately93%of the confidence intervals calulated from those samples would contain the sample proportion of people over50who ran and died in the same eight-year period.
		If we took repeated samples of people over50who ran over eight years, approximately93%of the samples would produce the same confidence interval.
		If we took repeated samples of people over50who 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%of the samples.