According to a Pew Research Center study, in May 2011, 44% 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 437 community college students at random and finds that 195 of them have a smart phone. Then in testing the hypotheses:
H0: p = 0.44 versus
Ha: p > 0.44,
what is the test statistic?
z = . (Please round your answer to two decimal places.)
= x / n = 195/437=0.4462
P0 = 0.44
1 - P0 = 1 - 0.44=0.56
Test statistic = z
=
- P0 / [
P0
* (1 - P0 ) / n]
=0.4462 - 0.56 / [(0.44*0.56)
/ 437]
z=0.262
z = 0.26
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