A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 54 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $13. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75? Interpret the meaning of the p-value in this problem. a. b. a. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho= 80 O B. Ho us75 H, uz75 H, # 80 OC. Ho = 80 OD. Ho us75 H, u> 75 H, > 80 O E. Ho us75 OF. Ho u#75 H, = 80 H, us75 Find the test statistic. tSTAT = (Round to two decimal places as needed. ) Find the p-value for this hypothesis test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? O A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. OC. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 54 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $13. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75? Interpret the meaning of the p-value in this problem. a. b. a. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho= 80 O B. Ho us75 H, uz75 H, # 80 OC. Ho = 80 OD. Ho us75 H, u> 75 H, > 80 O E. Ho us75 OF. Ho u#75 H, = 80 H, us75 Find the test statistic. tSTAT = (Round to two decimal places as needed. ) Find the p-value for this hypothesis test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? O A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. OC. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 54 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $13.
If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75?
Interpret the meaning of the p-value in this problem.
а.
b.
a. State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho:u= 80
O B. Ho:us75
O D. Ho:Hs75
O C. Ho:u= 80
H,:u > 80
H, u > 75
O E. Ho:us75
O F. Ho:H#75
H, u= 80
H, us75
Find the test statistic.
tSTAT =
(Round to two decimal places as needed.)
Find the p-value for this hypothesis test.
p-value = (Round to three decimal places as needed.)
What is the conclusion for this test?
O A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75.
O B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
OC. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75.
O D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
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