Question

According to a Pew Research Center study, in May 2011, 34% 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 339 community college students at random and finds that 136 of them have a smart phone. In testing the hypotheses: H 0 : p = 0.34 versus H a : p > 0.34, she calculates the test statistic as z = 2.3779.

Then the p ‑value = . (Please round your answer to four decimal places.)

Answer 1

Total number of sample (n) = 339
number of favourable events (X) = 136

We are interested in testing the hypothesis

Since P-value of a two tailed test is equal to

P = (1-0.9912942264576451)
P = 0.0087 (can be calculated from calculator)

Decision Rule: Reject the null hypothesis if the test statistic value is greater than the critical value 1.6448536269514722
The statistic value, 2.3779 is greater than the critical value 1.6448536269514722. Hence, reject the null hypothesis.