A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of

52 nonprofit organizations, the mean one-time gift donation in the past year was $

75, with a standard deviation of $

18.

a.

If you test the null hypothesis at the

0.10 level of significance, is there evidence that the mean one-time gift donation is greater than $

70?

b.

Interpret the meaning of the p-value in this problem.

a. State the null and alternative hypotheses. Choose the correct answer below.

A.

H0:

70

H1:

=75

B.

H0:

=75

H1:

>75

C.

H0:

70

H1:

70

D.

H0:

=75

H1:

75

E.

H0:

70

H1:

70

F.

H0:

70

H1:

>70

Find the test statistic.

tSTAT

=

nothing

(Round to two decimal places as needed.)

Find the p-value for this hypothesis test.

p-value

=

nothing

(Round to three decimal places as needed.)

What is the conclusion for this test?

A.

Do not reject the null hypothesis. There

is sufficient evidence that the mean one-time gift donation is greater than $

70.

B.

Reject the null hypothesis. There

is insufficient evidence that the mean one-time gift donation is greater than $

70.

C.

Reject the null hypothesis. There

is sufficient evidence that the mean one-time gift donation is greater than $

70.

D.

Do not reject the null hypothesis. There

is insufficient evidence that the mean one-time gift donation is greater than $

70.

b. Interpret the meaning of the p-value in this problem. Choose the correct answer below.

A.

The p-value is the probability that the population mean one-time gift donation is $

70 given that the sample mean one-time gift donation is $

75.

B.

The p-value is the probability of getting a sample mean one-time gift donation of $

75 or more, given that the population mean one-time gift donation is $

70.

C.

The p-value is the probability that the population mean one-time gift donation is $

75 or more.

D.

The p-value is the probability that the population mean one-time gift donation is more than $

70.