Monica Smith 10/29/22 9:53 PM entary Statistics Question 23 of 25 This test: 100 point(s) possible 103 Submit test This question: 4 pointis) possible A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 283. 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 31. At a = 0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha- Choose the correct answer below. O A. Ho H= 280 O B. Ho: H 280 (claim) Ha: H 2 280 (claim) Ha: H > 280 (claim) O D. Ho: p= 280 (claim) O E. Ho: H 2 280 (claim) OF. Ho HS280 (claim) Ha: [ > 280 Ha: H 280 (b) Find the standardized test statistic z, and its corresponding area. z= (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 Ho (e) Interpret your decision in the context of the original claim. Statcrunch Ne 10/2 hp 4- 18 144 19 Dll . DDI "2insert prt sc delete home end pg up & 6 8 9 O backspace ium lock R T O P 7 1+ 00 home F G H K enter 4 pause B N M T shift end alt ctrl O insO A. Ho = 280 Ha H > 280 (claim) Ha HA> 280 (claim) Ha: H 2 280 (claim) O E. Ho 1 2 280 (claim) OF. Ho HS280 (claim) O D. Ho 1 280 (claim) Ha: [> 280 Ha H> 280 Ha H 280 (clairn) Ha 1> 280 (claim) OE. Ho: 1 2 280 (claim) OF. Ho us280 (claim) Ho 1 280 (claim) Ha us 280 Ha 1 280 Hau 280 (claim) O E. Ho: H 2 280 (claim) OF. Ho: HS280 (claim) Ha: H 280 z, and its corresponding area. es as needed.) places as needed.) ject the null hypothesis support t of the original claim. reject enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 280. Next O 9:54 P 4X D 10/29/202 16 144 19 DH 10 DDI 12insert prt sc delete home end pg up pg & ** 8 9 backspace num lock U O P 7 - 00 9 home pg up K L enter pause N M T shift FN end alt ctrl