Question

A study by Consumer Reports revealed 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 hypotheses to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differs from 64%. (b) Describe the meaning of the Type I and Type II Error in this context. (c) Out of a sample of 100 shoppers, 52 shoppers stated that the supermarket brand is as good as the national brand. Test your hypotheses using the p-value approach, at the level of significance 0.03. (d) Repeat your test, but now using the confidence-interval approach.

Answer 1

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