Are you smarter than a second grader? A random sample of 57 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is t = 46. Assume the standard deviation of test scores is o = 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second graders in her school district have weaker math skills than the nationwide average. Use the a = 0.05 level of significance and the Pevalue method with the T1784 Plus calculator. Part 1 of5 (a) State the appropriate null and alternate hypotheses. Hm |:| . , 2 H1: |_| LL This hypothesis test is a righttailed I test. X 8 Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. Z: |_| X s Part 3 of 5 (c) Compute the P-value of the test statistic. Round the answer to four decimal places. P-value = X Part 4 of 5 (d) Determine whether to reject Ho. Use the a = 0.05 level of significance. Do not reject v the null hypothesis Ho. X 5 Part: 4 / 5 Part 5 of 5 (e) Summarize the results. There (Choose one) V enough evidence to conclude that the second graders in the superintendent's school district have weaker math skills than the nationwide average. X 5