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.

A researcher plans to use a random sample of houses to estimate the mean size (in square feet) of the houses in a large population.

Select the best answer.