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 352 community college students at random and finds that 129 of them have a smart phone. In testing the hypotheses:
H0: p = 0.31 versus
Ha: p > 0.31,
she calculates the test statistic as z = 2.2911.
Then the p‑value = .
(Please round your answer to four decimal places.)
solution:
This is the right tailed test .
The null and alternative hypothesis is
H0 : p =0.31
Ha : p > 0.31
= x / n = 129/352=0.37
P0 = 0.31
1 - P0 = 1-0.31=0.69
Test statistic = z
= - P0 / [P0 * (1 - P0 ) / n]
= 2.2911 given
p value =p(z>2.29)=1-p(z<2.29)=1-0.9890=0.0110
p value =0.0110
According to a Pew Research Center study, in May 2011, 31% of all American adults had...
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 352 community college students at random and finds that 129 of them have a smart phone. In testing the hypotheses: H0: p = 0.31 versus Ha: p > 0.31, she calculates...
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 352 community college students at random and finds that 129 of them have a smart phone. In testing the hypotheses: H0: p = 0.31 versus Ha: p > 0.31, she calculates...
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 352 community college students at random and finds that 129 of them have a smart phone. In testing the hypotheses: H 0 : p = 0.31 versus H a : p...
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 352 community college students at random and finds that 129 of them have a smart phone. In testing the hypotheses: H 0 : p = 0.31 versus H a : p...
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