A survey of nonprofit organizations showed that online fundraising increased in

Question

A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $209. 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 $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. H_0: mu lessthanorequalto 70 H_1: mu notequalto 70 B. H_0: mu lessthanorequalto 70 H_1: mu > 70 C. H_0: mu notequalto 70 H_1: mu lessthanorequalto 70 D. H_0: mu = 75 H_1: mu > 75 E. H_0: mu = 75 H_1: mu notequalto 75 F. H_0: mu lessthanorequalto 70 H_1: mu notequalto 75 Find the test statistic. t_STAT = (Round to two decimal places as needed) p-value = (Round to three decimal places as needed)

Explanation / Answer

GIVEN MEAN = 70

N =59

STANDARD DEVIATION =20

0.01 LEVEL OF SIGNIFICANCE MEANS CONFIDENCE INTERVAL IS 99%

A) OPTION B

HO:MU<=70

HA:MU>70

B) TEST STASTIC IS GIVEN BY

(X^-MEAN) /( S /SQRTN) =( 75-70) /(20/SQRT59) =5/2.6037=1.9203

C) P VALUE IS P(1.9203) = LOOKING INTO ZTABLE WE HAVE 0.9726

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