A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 57 nonprofit​ organizations, the mean​ one-time gift donation in the past year was ​$75​, with a standard deviation of ​$20.   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.   State the null and alternative hypotheses. Choose the correct answer below.   A. H0:μ≤70     H1:μ=75   B. H0:μ≤70      H1:μ≠70   C. H0:μ=75      H1:μ>75   D. H0:μ≤70      H1:μ>70   E. H0:μ≠70      H1:μ≤70   F.  H0:μ=75       H1:μ≠75   T-Stat=____ p-value=____   What is the conclusion for this​ test?   A. Do not 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 sufficient evidence that the mean​ one-time gift donation is greater than ​$70.   C. Reject the null hypothesis. There is insufficient evidence that the mean​ one-time gift donation is greater than ​$70.   D. Reject the null hypothesis. There is sufficient evidence that the mean​ one-time gift donation is greater than ​$70.   Interpret the meaning of the​ p-value in this problem. Choose the correct answer below. Hint from​ Tim: select A below.     A. 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.   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 ​$75 or more.   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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A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 57 nonprofit​ organizations, the mean​ one-time gift donation in the past year was ​$75​, with a standard deviation of ​$20.
 
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.
 
State the null and alternative hypotheses. Choose the correct answer below.
 
A. H0:μ≤70
    H1:μ=75
 
B. H0:μ≤70
     H1:μ≠70
 
C. H0:μ=75
     H1:μ>75
 
D. H0:μ≤70
     H1:μ>70
 
E. H0:μ≠70
     H1:μ≤70
 
F.  H0:μ=75
      H1:μ≠75
 
T-Stat=____
p-value=____
 
What is the conclusion for this​ test?
 
A. Do not 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 sufficient evidence that the mean​ one-time gift donation is greater than ​$70.
 
C. Reject the null hypothesis. There is insufficient evidence that the mean​ one-time gift donation is greater than
​$70.
 
D. Reject the null hypothesis. There is sufficient evidence that the mean​ one-time gift donation is greater than ​$70.
 
Interpret the meaning of the​ p-value in this problem. Choose the correct answer below. Hint from​ Tim: select A below.
 
 
A. 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.
 
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 ​$75 or more.
 
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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