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5. Two brands of coffee were compared. Two independent random samples of 50 people each were...

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Basic Math

5. Two brands of coffee were compared. Two independent randomsamples of 50 people each were asked to taste either Brand A orBrand B coffee, and indicate whether they liked it or not. Eightyfour percent of the people who tasted Brand A liked it; theanalogous sample proportion for Brand B was ninety percent.

(A) [8] At ? = 0.01, is there a significant difference in theproportions of individuals who like the two coffees? Use thep-value approach.

(B) [1] What is the critical value(s) for the test inPart(A)?

(C) [2] Construct a 99% confidence interval for the differencein the proportions of people who like Brand A and Brand Bcoffees.

(D) [2] Do we use the same estimate of the standard deviation ofˆp1 ? pˆ2 in parts (A) and (C)? Explain.

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