A study showed that 67% of supermarket shoppers believe supermarket brands to be as good as national name brands.

A study showed that 67% 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 67%.
ho: p _____
ha: p _____
b. If a sample of 100 shoppers showed 51 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)?
c. At , 0.05 what is your conclusion?

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