According to a Pew Research Center, in May 2011, 35% of all American adults had

Question

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. 0.35 versus Ha p > 0.35, she calculates the test She selects 300 community college students at random and finds that 120 of them have a smart phone. In testing the hypotheses: Ho: p statistic as z 1.82. Use the Normal Table to help answer the p-value part of this question. There is enough evidence to show that more than 35% of community college students own a smart phone (P-value 0.034) There is enough evidence to show that more than 35% ofcommunity college students own a smart phone P value 0,068. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.966). There is not enough evidence to show that more than 35% of community college students own a smart phone P-value 0.034)

Explanation / Answer

Here looking at the alternate hypothesis, the p-value here is computed from the standard normal tables as:

p = P(Z > 1.82 ) = 0.0344

Now as the p-value here is 0.034 < 0.05 which is generally the level of significance, therefore the test is significant and we can reject the null hypothesis here and conclude that the proportion here is more than 35%.

Therefore a) is the correct answer here.

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