Chapters 7 &8 Estimation and Hypothesis Testing Score 100 2: Assigned: September

Question

Chapters 7 &8 Estimation and Hypothesis Testing Score 100 2: Assigned: September 12, 2018 Due Date: September 21, 2018 (80 pts) PART 1-STATISTICAL NFERENCE (20 pts) PROBLEM #1-In a marketing survey, a random sample of 1000 supermarket shoppers revealed that 727 never stock up on an item even though they find that item at a real bargain price. Construct and interpret a 95% confidence interval for the true proportion of all supermarket shoppers who never stock up on an item even though they find a real bargain. s) PROBLEM #2-What percentage of your campus student body is male? The tates, 1 12th Edition, indicates that approximately 36% Statistical Abstract of the of college students are male. If you wanted to conduct a study to estimate the percentage of Xavier's campus student body that is male, how large a sample is needed to be 90% confident your estimate is within 10% of the true percentage?

Explanation / Answer

Solution

Givenn that n = 1000

P(never stock up), p = 727/1000 = 0.727

95% confirdence interval for p = ( p +- z0.025(p(1-p)/n)0.5)

95% CI = ( 0.727 +- 1.96 (0.727*0.273/1000)0.5) = (0.6994, 0.7546)

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