A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 55 nonprofit organizations, the mean one-time gift donation in the past...

A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 55 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $9.

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.