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Researchers at Consumer Reports recently found that fish are often mislabeled in grocery stores and restaurants....

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Basic Math

Researchers at Consumer Reports recently found that fish areoften mislabeled in grocery stores and restaurants. They areinterested to know, however, if the proportion of mislabelingvaries by type of fish. They collected data on 400 packages of tunaand 300 packages of mahi mahi and found that 110 and 95 weremislabeled, respectively.

a. What are the point estimates for the proportion of tuna andmahi mahi that are mislabeled?

b. Provide a 95% confidence interval estimate of the differencebetween the proportion of tuna and mahi mahi that ismislabeled.

c. Based on your answer to (b), would you say the rate ofmislabeling is different for tuna and mahi mahi? Explain youranswer.

d. Now, let’s say we want to test whether the proportion of tunamislabeled is lower than the proportion of mislabeled mahi mahi.Assuming a 99% confidence level, work through your hypothesistesting procedure below.

Answer & Explanation Solved by verified expert
4.0 Ratings (493 Votes)
a point estimate of population proportion is sampleproportionLet p1 and p2 are proportions of mislabeled tuna    See Answer
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