Question: Test whether (p_{1}>p_{2}). Sample data: (x_{1}=120, n_{1}=248), (x_{2}=139, n_{2}=313), where (alpha=0.010). Conduct each test at the (alpha) level of significance by determining (a) the null

Test whether $p_{1}>p_{2}$. Sample data: $x_{1}=120, n_{1}=248$, $x_{2}=139, n_{2}=313$, where $\alpha=0.010$.

Conduct each test at the $\alpha$ level of significance by determining

(a) the null and alternative hypotheses,

(b) the test statistic,

(c) the critical value,

(d) the P-value.

Assume that the samples were obtained independently using simple random sampling.

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