A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 51 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $18. a. 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? b. Interpret the meaning of the p-value in this problem. a. State the null and alternative hypotheses. Choose the correct answer below. OA. H₂75 H₁>75 OC. H: 80 H₁80 OE. Hu≤75 H₁μ=80 Find the test statistic. ISTAT = (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? OB. H₂:75 H₁75 O D. H₂:μ = 80 H₁80 OF. H₂:#75 H₁75 A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. B. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O D. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. b. Interpret the meaning of the p-value in this problem. Choose the correct answer below. OA. The p-value is the probability that the population mean one-time gift donation is $80 or more. OB. The p-value is the probability of getting a sample mean one-lime gift donation of $80 or more, given that the population mean one-time gift donation is $75, OC. The p-value is the probability that the population mean one-time gift donation is more than $75. OD. The p-value is the probability that the population mean one-time gift donation is $75 given that the sample mean one-time gift donation is $80.
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 51 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $18. a. 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? b. Interpret the meaning of the p-value in this problem. a. State the null and alternative hypotheses. Choose the correct answer below. OA. H₂75 H₁>75 OC. H: 80 H₁80 OE. Hu≤75 H₁μ=80 Find the test statistic. ISTAT = (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? OB. H₂:75 H₁75 O D. H₂:μ = 80 H₁80 OF. H₂:#75 H₁75 A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. B. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75. O D. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75. b. Interpret the meaning of the p-value in this problem. Choose the correct answer below. OA. The p-value is the probability that the population mean one-time gift donation is $80 or more. OB. The p-value is the probability of getting a sample mean one-lime gift donation of $80 or more, given that the population mean one-time gift donation is $75, OC. The p-value is the probability that the population mean one-time gift donation is more than $75. OD. The p-value is the probability that the population mean one-time gift donation is $75 given that the sample mean one-time gift donation is $80.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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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 51 nonprofit organizations, the
mean one-time gift donation in the past year was $80, with a standard deviation of $18.
a. 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?
b. Interpret the meaning of the p-value in this problem.
a. State the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: ≤75
H₁>75
OC. H₂=80
H₁80
OE. Hu≤ 75
H₁μ=80
Find the test statistic.
ISTAT = (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?
B. H: 75
H₁75
O D. H₂:μ=80
H₁80
OF. H₁₂:#75
H₁75
A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75.
B. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $75.
D. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $75.
b. Interpret the meaning of the p-value in this problem. Choose the correct answer below.
OA. The p-value is the probability that the population mean one-time gift donation is $80 or more.
OB. The p-value is the probability of getting a sample mean one-lime gift donation of $80 or more, given that the population mean one-time gift donation is $75.
OC. The p-value is the probability that the population mean one-time gift donation is more than $75.
OD. The p-value is the probability that the population mean one-time gift donation is $75 given that the sample mean one-time gift donation is $80.
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