Write the Word or Phrase That Best Completes Each Statement $45 \%$

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected
-In a random sample of 300 women, $45 \%$ favored stricter gun control legislation. In a random sample of 200 men, $25 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } 1 - \mathrm { P } 2$ .

A) $0.092 < \mathrm { p } 1 - \mathrm { p } 2 < 0.308$
B) $0.114 < \mathrm { p } _ { 1 } - \mathrm { p } 2 < 0.286$
C) $0.102 < \mathrm { p } 1 - \mathrm { p } 2 < 0.298$
D) $0.118 < \mathrm { p } 1 - \mathrm { p } 2 < 0.282$