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Chapter 8: Q 23. (page 509)

The researcher is deciding between a 95% confidence level and a 99% confidence level. Compared with a 95% confidence interval, a 99% confidence interval will be

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 and would have the same risk of being incorrect.

Short Answer

Expert verified

Option (b) is correct.

Step by step solution

01

Given Information

Confidence intervals are95%,99%

02

Explanation

Width of confidence interval and confidence level are related positively.

If confidence level is high, degree of precision is higher, risk of being incorrect is lower.

For 99%confidence level, interval is wider and risk of being incorrect is lower.

Option (b) is correct.

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Most popular questions from this chapter

How confident? The figure shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for the population mean using each sample. Which confidence level鈥�80%,90%,95%,or99%鈥攄o you think was used? Explain your reasoning.

Explaining confidence The admissions director for a university found that (107.8,116.2)is a 95%confidence interval for the mean IQ score of all freshmen. Discuss whether each of the following explanations is correct, based on that information.

a. There is a 95%probability that the interval from role="math" localid="1654200953396" 107.8to116.2contains 渭.

b. There is a 95%chance that the interval(107.8,116.2)contains x炉.

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d. If we take many samples, about 95%of them will contain the interval (107.8,116.2).

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The student body president of a high school claims to know the names of at least 1000of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100students and asks the president to identify each by name. The president successfully names only 46of the students.

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