'- mathxlcom MyLab and Mastering M Do Homework , Review f... Take a Test Jason gordm C Chegg Search Does (Do) the mode(s) r... E Course Hero E Numbaa 7 , Murda W... Math 201/Busi 230 004 Fall 21 135" garden 5 | 12/13/2110:09 AM This test: 27 point(s) possible : Test: Math 201 Final Examination Question 20 of 27 This question\" poms) possible Submit test A random sample of 77 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 40. At u= 0.13, is there enough evidence to support the administrators claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and \"5- Choose the correct answer below. 0 A. Ho: p280 Ha: p280 Ha: p>280 (claim) Ha: p>280 (claim) (b) Find the standardized test statistic z, and its corresponding area. 2: (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject HO O Fail to reject H0 (6) Interpret your decision in the context of the original claim, At the 13% signicance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 280. Time Remaining: 01:31:43 m