Testing \(H_{0}: p=0.5\) vs \(H_{a}: p>0.5\) using \(\hat{p}=0.55\) with each of the following sample sizes:

(a) \(\hat{p}=55 / 100=0.55\)

(b) \(\hat{p}=275 / 500=0.55\)

(c) \(\hat{p}=550 / 1000=0.55\)

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?