Find the Weighted Estimate $\overline { \mathrm { p } }$

Multiple Choice

Find the weighted estimate, $\overline { \mathrm { p } }$ to test the claim that $\mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } \text {. Use } \alpha = 0.05$ Assume the samples are random and independent.
Sample statistics: $\mathrm { n } _ { 1 } = 50 , \mathrm { x } _ { 1 } = 35 \text {, and } \mathrm { n } _ { 2 } = 60 , \mathrm { x } _ { 2 } = 40$

A) 0.682
B) 0.328
C) 0.238
D) 1.367