According to a Pew Research Center, in May 2011, 35% of all American adults had a smartphone (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 smartphone. 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 identify the appropriate P-value for this Z score.

Clickhereto access the normal table.

Given these results, which of the following is an appropriate conclusion?

1. There is enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.034).
2. There is enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.068).
3. There is not enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.966).
4. There is not enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.034).