A study by Consumer Reports showed that 60% of supermarket shoppers believe supermarket brands to be as good as national

[answerhappygod]

A study by Consumer Reports showed that 60% 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 60%.
b. If a sample of 100 shoppers showed 40 stating that the
supermarket brand was as good as the national brand, what is the
value for the test statistic?
c. What is the p-value?
d. At a significance level of .05, what is your conclusion?
Should the national brand ketchup manufacturer be pleased with this
conclusion?