Question

11. Construct the indicated confidence interval for the difference between population proportions. Assume that the samples are independent and that they have been randomly selected.

A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.

12. Construct the indicated confidence interval for the difference between population proportions. Assume that the samples are independent and that they have been randomly selected.

In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p1 − p2.

13. Find the degrees of freedom, df to test the hypothesis that μ1 > μ2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.
n1 = 43          n2 = 43
= 63.0       = 61.5
s1 = 11.9          s2 = 23.4

Thank you !!!

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