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A credit card company claims that the mean credit card debt for individuals is greater than $4,700. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $4,834 and a standard deviation of $625. Ato= 0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify H, and Ha. Which of the following correctly states H, and Ha? O A. Ho: US $4,700 OB. H: H= $4,700 O C. Ho: H = $4,700 Ha: H > $4,700 Ha: H = $4,700 Ha: US $4,700 O D. Ho: H= $4,700 O E. Ho: H=$4,700 OF. Ho: H = $4,700 H,: H = $4,700 He: H#$4,700 H : us $4,700 (b) Find the critical value(s) and identify the rejection region(S). What is (are) the critical value(s), to ? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(S). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) OA. to andt> OB. t = O C. t= OD