According to a Pew Research Center in May 2011 35 of all Ame

According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 300 community college students at random and finds that 120 of them have a smart phone. In testing the hypotheses: H0: p = 0.35 versus Ha: p > 0.35, she calculates the test statistic as Z = 1.82. Use the Normal Table to help answer the p-value part of this question. Click here to access the normal table.

Solution

Looking up z=1.82 on the normal table we get a probability of .9656. Since the alternative is interested in the greater than probability, we subtract this from 1 to get a final probability of .0344.