According to a Pew Research Center study, in May 2011, 31% 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 355 community college students at random and finds that 132 of them have a smart phone. In testing the hypotheses: H0: p = 0.31 versus Ha: p > 0.31, Do the hypothesis test. Use a level of significance of $\alpha$ = 0.05; (Use the unrounded values in Excel to find the answer for #4.)
1. The z value is
(Put the letter as answer choice in the answer box. Round your answer to four decimal places.) A. 2.5189 B. 0.0618 C. -2.5189 D. 102.6180
2. This is an example of (Put the letter as answer choice in the answer box.) A. right-tailed B. two-tailed C. left-tailed
3. The degrees of freedom are (Put the letter as answer choice in the answer box.) A. 351 B. 354 C. 345 D. 352 E. 356
4. Find the p-value (Put the letter as answer choice in the answer box. Round your answer to four decimal places.) A. 0.9941 B. 0.0118 C. 0.0059 D. 0.0061
5. The Null hypothesis should be (Put the letter as answer choice in the answer box.) A. fail to reject B. reject