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Chapter 8: Q. 21 (page 483)

A researcher plans to use a random sample of n=500families to estimate the mean monthly family income for a large population. A99%confidence interval based on the sample would be ______ than a 90% confidence interval.

(a) narrower and would involve a larger risk of being incorrect

(b) wider and would involve a smaller risk of being incorrect

(c) narrower and would involve a smaller risk of being incorrect

(d) wider and would involve a larger risk of being incorrect

(e) wider, but it cannot be determined whether the risk of being incorrect would be larger or smaller

Short Answer

Expert verified

(b) wider and would involve a smaller risk of being incorrect

Step by step solution

01

Given Information

(a) narrower and would involve a larger risk of being incorrect

(b) wider and would involve a smaller risk of being incorrect

(c) narrower and would involve a smaller risk of being incorrect

(d) wider and would involve a larger risk of being incorrect

(e) wider, but it cannot be determined whether the risk of being incorrect would be larger or smaller

02

Explanation

A 99%confidence interval will be wider than a 90%confidence interval because a 99%confidence interval will result in an interval that is more likely to contain the true population mean than the90% confidence interval.

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