Testing (H_{0}: p=0.5) vs (H_{a}: p>0.5) using (hat{p}=0.58) with each of the following sample sizes: (a) (hat{p}=29

Question:

Testing $H_{0}: p=0.5$ vs $H_{a}: p>0.5$ using $\hat{p}=0.58$ with each of the following sample sizes:

(a) $\hat{p}=29 / 50=0.58$

(b) $\hat{p}=290 / 500=0.58$

The same sample statistic is used to test a hypothesis, using different sample sizes. In each case, use StatKey or other technology to find the p-value and indicate whether the results are significant at a 5\% level. Which sample size provides the strongest evidence for the alternative hypothesis?

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