(Steps Shown) Given the following null and alternative hypotheses: H_0:π _1-π _2≤ 0.0 , H_A:π _1-π _2>0.0 , and the following sample information:
Question: Given the following null and alternative hypotheses:
\[\begin{aligned} & {{H}_{0}}:{{\pi }_{1}}-{{\pi }_{2}}\le 0.0 \\ & {{H}_{A}}:{{\pi }_{1}}-{{\pi }_{2}}>0.0 \\ \end{aligned}\]and the following sample information:
- Based on \(\alpha=0.02\) and the sample information, what should be concluded with respect to the 110 1 and alternative hypotheses? Be sure to clearly show the decision rule.
- Calculate the \(p\) -value for this hypothesis test. Based on the p-value, would the mull hypothesis be rejected? Support your answer with calculations and/or reasons.
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