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.

She selects 300 community college students at random and finds that 120 of them have a smart phone. In testing the hypotheses: H0: p = 0.35 versus Ha: p > 0.35, she calculates the test statistic as Z = 1.82.

Use the Normal Table to help answer the p-value part of this question.

Click here to access the normal table.

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% of community 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

Assuming the significance level is 5%, then There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

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