The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 60 , \mathrm { x } _ { 2 } = 29 , \mathrm { n } _ { 2 } = 77 ; 95 \%$

Multiple Choice

The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Use the two-proportions plus-four z-interval procedure to obtain the specified confidence interval.
- $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 60 , \mathrm { x } _ { 2 } = 29 , \mathrm { n } _ { 2 } = 77 ; 95 \%$ confidence interval

A) $0.288$ to $0.615$
B) $- 0.122$ to $0.646$
C) $- 0.092$ to $0.236$
D) $0.258$ to $0.646$