A simple random sample of 300 voters was polled several months before a presidential election. One of the questions asked was: ‘‘Are you satisfied with the choice of candidates for president?’’ A total of 123 of them said that they were not satisfied.

a. Construct a 99% confidence interval for the proportion of voters who are not satisfied with the choice of candidates.

b. Among the 300 voters were 158 women. These constitute a simple random sample of women voters. If this sample were used to construct a 99%

confidence interval for the proportion of women voters who are satisfied with the choice of candidates for president, is it likely that the margin of error would be larger, smaller, or about the same as the one in part (a)?