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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

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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 $75, with a standard deviation of $13. $70? 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 b. Interpret the meaning of the p-value in this problem. a. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho:H = 75 OB. HO:H # 70 Hy:H # 75 Hy:US 70 O C. HOus70 OD. HO:HS70 Hy:H = 75 Hy:HI # 70 OE. HOus 70 OF. HO:H = 75 Hy: H > 70 H1:H > 75 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? A. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. B. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. O C. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70. O D. Do not reject the null hypothesis. There is sufficient 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. O A. The p-value is the probability that the population mean one-time gift donation is $75 or more. O B. The p-value is the probability that the population mean one-time gift donation is more than $70. C. 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. O D. 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

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