SAT scores: Scores on the math SAT are normally distributed. A sample of 16 SAT scores had standard deviation S = 88. Someone says that the scoring system for the SAT is designed so that the population standard deviation will be at least 6 = 71. Do these data provide sufficient evidence to contradict this claim? Use the a = 0.01 level of significance. Part: 0 / 5 Part 1 of 5 State the null and alternate hypotheses. H :G = X 5 H, : 6 This hypothesis test is a right-tailed V test. Part: 1 / 5 Part 2 of 5 Find the critical value. Round the answer to three decimal places. For a = 0.01, the critical value is X 5Part 3 of 5 Compute the test statistic. Round the answer to three decimal places. X 5 Part: 3 / 5 Part 4 of 5 Determine whether to reject Ho. Reject the null hypothesis H. X Reject 5 Do not reject Part: 4 / 5 Part 5 of 5 State a conclusion. There (Choose one) V enough evidence to contradict the claim that the population standard deviation is at least 0 = 71. X 5