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

Multiple Choice

Find the weighted estimate, $\overline { \mathrm { p } }$ tto test the claim that $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } \text {. Use } \alpha = 0.02$ Assume the samples are random and independent.
Sample statistics: $\mathrm { n } _ { 1 } = 1000 , \mathrm { x } _ { 1 } = 250 \text {, and } \mathrm { n } _ { 2 } = 1200 , \mathrm { x } _ { 2 } = 195$

A) 0.202
B) 0.789
C) 0.110
D) 0.138