Test the Claim That $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } . \text { Use } \alpha = 0.02$

Essay

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: $\mathrm { n } _ { 1 } = 1000 , \mathrm { x } _ { 1 } = 250 \text {, and } \mathrm { n } _ { 2 } = 1200 , \mathrm { x } _ { 2 } = 195$