The 1997 General Social Survey asked If the husband in a fam

The 1997 General Social Survey asked, \"If the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?\" Of the sample of subjects asked this question, 82.7% said yes.

1) Without doing any calculation, which of the following statements would be true in comparing a 98% confidence interval to a 94% confidence interval for the population proportion who would say yes?

a) The 98% confidence interval would be wider than the 94% confidence interval.

b) The 98% confidence interval would be narrower than the 94% confidence interval.

c) The margin of error for the 98% confidence interval would be smaller than the margin of error for the 94% confidence interval.

d) The margin of error for the 98% confidence interval would be larger than the margin of error for the 94% confidence interval.

e) The z-value used to calculate the 98% confidence interval would be smaller than the z-value used to calculate the 94% confidence interval.

f) The z-value used to calculate the 98% confidence interval would be larger than the z-value used to calculate the 94% confidence interval.

g) The standard error for the 98% confidence interval would be the same as the standard error for the 94% confidence interval.

h) The standard error for the 98% confidence interval would be larger than the standard error for the 94% confidence interval.

Solution

a) The 98% confidence interval would be wider than the 94% confidence interval.
d) The margin of error for the 98% confidence interval would be larger than the margin of error for the 94% confidence interval.
f) The z-value used to calculate the 98% confidence interval would be larger than the z-value used to calculate the 94% confidence interval.
g) The standard error for the 98% confidence interval would be the same as the standard error for the 94% confidence interval.