7.A study by Consumer Reports showed that 70% of supermarket shoppers believe supermarket brands to be as good as national name brands.To understand whether this is applies to its own product; the manufacturer of a national name-brand cheese asked a sample of shoppers whether they believed that store brand cheese was as good as the name-brand cheese.

Consider the following hypothesis test:

H_o:=0.70

H₁:0.70

a)If a sample of 200 shoppers showed 125 stating that the supermarket brand was as good as the national brand, what would the computed value for the statistic be?

b)What is the p-value?

c)At a 0.05 level of significance, what would your decision be (reject Ho or fail to reject Ho)?

d)Would you consider the name-brand cheese to be anydifferentin preference to the supermarket brand?