The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 44 , \mathrm { n } _ { 1 } = 67 , \mathrm { x } _ { 2 } = 50 , \mathrm { n } _ { 2 } = 79 ; 95 \%$

Multiple Choice

The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Use the two-proportions z-interval procedure to obtain the specified confidence interval.
- $\mathrm { x } _ { 1 } = 44 , \mathrm { n } _ { 1 } = 67 , \mathrm { x } _ { 2 } = 50 , \mathrm { n } _ { 2 } = 79 ; 95 \%$ confidence interval

A) $0.471$ to $0.842$
B) $- 0.161$ to $0.842$
C) $0.501$ to $0.813$
D) $- 0.132$ to $0.179$