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According to a money report by a government institution, 18-to-20-year-old college students have an average credit card balance of $569. A researcher wants to find out if this number is lower now and collects data for a random sample of 40 college students. Their average credit card debt was found to be $549 with a sample standard deviation of $67 65, Complete parts a through c. Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. la/2= OB. - la = O C. tor = Calculate the appropriate test statistic (Round to two decimal places as needed.) State the conclusion. Ho- There sufficient evidence to conclude that the average credit card balance of 18-to-20-year-old college students has since 2016. b. Does changing the value of a from 0.05 to 0.01 affect the conclusion? Why or why not? The conclusion should because the test statistic is (Round to three decimal places as needed.) c. Determine the precise p-value for this test using Excel. The p-value is (Round to three decimal places as needed.)