samples are independent and that they have been randomly selected. You may NOT u
ID: 2906993 • Letter: S
Question
samples are independent and that they have been randomly selected. You may NOT use caleulator functions on the STAT TESTS menu for this problem. 3) A marketing survey involves product recognition in New York and California. Of 358 New 3) Yorkers surveyed i93 knew the product while ? 96 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions State what the given confidence interval suggests about the two population means. 4) A researcher was interested in comparing the amount of time spent watching television by 4)_ women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows Men x1 12.9 hrs x2 13.7 hrs 1-3.9 hrs 2-5.2 hrs n1-14 n2-17 The following 99% confidence interval was obtained for HI-H2, the difference between the mean amount of time spent watching television for women and the mean amount of time spent watching television for men: -5.73 hrsExplanation / Answer
p1 =193/558 = .346
p2 =196/614 = .319
p1 =p2 = .027
n1 = 558
n2 = 614
po= (196+193)/(558+614) = 0.332
sd pooled = sqrt(po(1-po)(1/n1+1/n2)) = sqrt(.2217 *.00342) =.0275
so 99% pi= .027- 2.576*.0275, .027 + 2.576* .0275
= -.0438 ,.09748
b)
as the CI containd 0 we can say that there is not enough evidence to reject the null ou mu1 = mu2
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