Test the Claim That $\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 } . \text { Use } \alpha = 0.01$

Essay

Test the claim that $\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 } . \text { Use } \alpha = 0.01$ Assume the samples are random and independent.
Sample statistics: $\mathrm { n } _ { 1 } = 100 , \mathrm { x } _ { 1 } = 38 , \text { and } \mathrm { n } _ { 2 } = 140 , \mathrm { x } _ { 2 } = 50$