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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

Prom totals Use your interval from Exercise 39 to construct and interpret a 90%

confidence interval for the total number of seniors planning to go to the prom.

A Gallup poll found that only 28%of American adults expect to inherit money or valuable possessions from a relative. The poll’s margin of error was ±3 percentage points at a 95%confidence level. This means that

a. the poll used a method that gets an answer within 3% of the truth about the population 95%of the time.

b. the percent of all adults who expect an inheritance must be between 25%and 31%.

c. if Gallup takes another poll on this issue, the results of the second poll will lie between 25%and 31%.

d. there’s a 95% chance that the percent of all adults who expect an inheritance is between

25% and 31%.

e. Gallup can be 95% confident that between 25% and 31% of the sample expect an inheritance.

It’s about ME Explain how each of the following would affect the margin of error of a confidence interval, if all other things remained the same.

a. Increasing the confidence level

b. Quadrupling the sample size

Blood pressure A medical study finds that x¯=114.9and sx=9.3

for the seated systolic blood pressure of the 27randomly selected adults. What is the standard error of the mean? Interpret this value in context.

Running red lights A random digit dialing telephone survey of 880 drivers asked, “Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?” Of the 880 respondents, 171 admitted that at least one light had been red.37

a. Construct and interpret a 95% confidence interval for the population proportion.

b. Nonresponse is a practical problem for this survey—only 21.6% of calls that reached a live person were completed. Another practical problem is that people may not give truthful answers. What is the likely direction of the bias: Do you think more or fewer than 171 of the 880 respondents really ran a red light? Why? Are these sources of bias included in the margin of error?
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