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Katrina wants to estimate the proportion of adultAmericans who read

Katrina wants to estimate the proportion of adultAmericans who read at least 10 books last year. To do so, she obtains a simple random sample of 100 adult Americans and constructs a 95% conﬁdence interval. Matthew also wants to estimate the proportion of adult Americans who read atleast 10 books last year. He obtains a simple random sample of 400 adult Americans and constructs a 99% conﬁdence interval.Assuming both Katrina and Matthew obtained the same point estimate, whose estimate will have the smaller margin of error? Justify your answer.

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