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Chapter 8: Q 24. (page 509)

After deciding on a 95% confidence level, the researcher is deciding between a sample of size n=500 and a sample of size n=1000. Compared with using a sample size of n=500, a confidence interval based on a sample size of n=1000 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. narrower and would have the same risk of being incorrect.

Short Answer

Expert verified

Option (e) is correct.

Step by step solution

01

Given Information

Two sample sizes are givenn=500,n=1000

02

Explanation

The confidence interval is related to sample size negatively. If sample size increases, precision of confidence interval lowers risk of being correct.

If sample size 1000is used at same 95%confidence interval, confidence interval is less and there is same risk for being incorrect.

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