Write the Word or Phrase That Best Completes Each Statement $25 - 29,14 \%$

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 500 people aged 20-24, 22\% were smokers. In a random sample of 450 people aged $25 - 29,14 \%$ were smokers. Construct a $95 \%$ confidence interval for the difference between the population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

A) $0.025 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.135$
B) $0.035 < p _ { 1 } - p _ { 2 } < 0.125$
C) $0.048 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.112$
D) $0.032 < p _ { 1 } - p _ { 2 } < 0.128$