Question

A study showed that 69% 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 69%.

H0: p is Ha: p is

b. If a sample of 100 shoppers showed 58 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)? .

c. At = .05, what is your conclusion? p-value is H 0

d. Should the national brand ketchup manufacturer be pleased with this conclusion? , a sample proportion of indicates that than % of the shoppers believe the supermarket brand is as good as the name brand.

Answer 1