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A survey of nonprofit organizations showed that online fundraising increased in

ID: 3041328 • Letter: A

Question

A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 53 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $19. a. If you test the null hypothesis at the 0.01 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. A. H04-80 OB. HI : 75 H1 : > 75 H1 : > 80 H1: = 80 Find the test statistic. STAT 1.92 (Round to two decimal places as needed.) Find the p-value for this hypothesis test. p-value = (Round to three decimal places as needed.)

Explanation / Answer

Df = 53 - 1 = 52

p-value = P(T > 1.92)

             = 1 - P(T < 1.92)

             = 1 - 0.9698

             = 0.0302

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