23) A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at a = 0.05? Use the p-value approach. a) State the null and alternative hypotheses. (2 pts) b) Clearly write down the test statistic formula first and then compute the test statistics. (6pts) c) Find the p-value. (5 pts) d) What are your decisions? Explain! (2 pts)