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a study at the university of michigan wants to determinestudent opinions regardi

ID: 2915896 • Letter: A

Question

a study at the university of michigan wants to determinestudent opinions regarding non-revenue-generating athletics.specifically, one question in a servey asks students "do you thinkthat the women's basketball program should be discontinued?"(wommen's basketvall is one of the largest expenditures in themichigan athletic department.) the data collected revealed that 100of the 1,000 females surveyed responded "yes" and 400 ot the 1,000males surveyed responded "yes." suppose a 99% confidence intervalresulted in the following confidence interval for the truedifference in population proporrtions; (-.5,-.1) interpret theinterval. A) we are 99% confident that theproportion of women who think that the women's basketball programshould be discontinued exceeds the proportion of men who feel thewoments basketball program should be discontinued. b) we are 99% confident that theproportion of men who think that the women's basketball programshould be discontinued exceeds the proportion of women who feel thewomen's basketball program should be discontinued. c) we are 99% confident that theproportion of women who play college basketball is less than theproportion of college women who play college basketball d) because the interval containsnegative valuse (which does not make sencse for proportions), thisinterval is invalid and hsould not be interpreted. a study at the university of michigan wants to determinestudent opinions regarding non-revenue-generating athletics.specifically, one question in a servey asks students "do you thinkthat the women's basketball program should be discontinued?"(wommen's basketvall is one of the largest expenditures in themichigan athletic department.) the data collected revealed that 100of the 1,000 females surveyed responded "yes" and 400 ot the 1,000males surveyed responded "yes." suppose a 99% confidence intervalresulted in the following confidence interval for the truedifference in population proporrtions; (-.5,-.1) interpret theinterval. A) we are 99% confident that theproportion of women who think that the women's basketball programshould be discontinued exceeds the proportion of men who feel thewoments basketball program should be discontinued. b) we are 99% confident that theproportion of men who think that the women's basketball programshould be discontinued exceeds the proportion of women who feel thewomen's basketball program should be discontinued. c) we are 99% confident that theproportion of women who play college basketball is less than theproportion of college women who play college basketball d) because the interval containsnegative valuse (which does not make sencse for proportions), thisinterval is invalid and hsould not be interpreted.

Explanation / Answer

Answer : b) we are 99% confident that theproportion of men who think that the women's basketball programshould be discontinued exceeds the proportion of women who feel thewomen's basketball program should be discontinued.