1.A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.

a.Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%.

b.If a sample of 100 shoppers showed 52 stating that the supermarket brandwas as good as the national brand, identify the test statistic for conducting a test of the hypotheses in Part a).

c. Identify the rejection point or points for the hypothesis tested in Part a) at the 0.05 level of significance.

d. Determine whether the null hypothesis is rejected or not rejected at the 0.05 level of significance. (Use the tables) Give the answer in terms of the problem.

e. Compute the p-value for a hypothesis test that can be used to determine that the supermarket brand was as good as the national brand. Should the national brand ketchup manufacturer be pleased with this conclusion? Explain.