Quizzol

QUESTION:

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 126 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 = 2.54.

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 smartphone (P-value = 0.0055).

There is not enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.9945).

There is not enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.011).

There is not enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.0055).

ANSWER:

There is enough evidence to show that more than 35% of community college students own a smartphone (P-value = 0.0055).

Good job! The area to the right of Z = 2.54 on the standard normal curve is about 0.0055. This is smaller than α = 0.10 so we reject the null hypothesis and accept the alternative hypothesis.

Posted by Cleveland on September 22, 2024