22In a random sample of size 106 shoppers 64 favored brand A against brand B. Letpbe the fraction in the entire population of shoppers who prefer brand A against brand B.

(a) Calculate a point estimate forp.

(b) A claim is made thatp=.7.Set up the null and alternative hypotheses to test this claim

(two-sided).

(c) Calculate the test statistic for the test.

(d) Make a decision using the significance level=.01. (e) Calculate thep-value corresponding to this test.