Given the following null and alternative hypotheses

and the following sample information

a. Based on α = 0.02 and the sample information, what should be concluded with respect to the null and alternative hypotheses? Be sure to clearly show the decision rule.
b. Calculate the p -value for this hypothesis test. Based on the p -value, would the null hypothesis be rejected? Support your answer with calculations and/or reasons.

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HA: pl-p2 > 0.0 Sample 1 Sample 2 n 60 80 XI 30 24