Question: Test whether (p_{1}>p_{2}). Sample data: (x_{1}=127, n_{1}=255), (x_{2}=133, n_{2}=309), where (alpha=0.05). Conduct each test at the (alpha) level of significance by determining (a) the null

Test whether \(p_{1}>p_{2}\). Sample data: \(x_{1}=127, n_{1}=255\), \(x_{2}=133, n_{2}=309\), where \(\alpha=0.05\).

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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