content area top Part 1 A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 265. 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 260. Assume that the population standard deviation is 35. At alphaequals0.15, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Question content area bottom Part 1 (a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. Choose the correct answer below. A. Upper H 0: muless than260 Upper H Subscript a: mugreater than or equals260 (claim) B. Upper H 0: muequals260 Upper H Subscript a: mugreater than260 (claim) C. Upper H 0: muequals260 (claim) Upper H Subscript a: mugreater than260 D. Upper H 0: muless than or equals260 (claim) Upper H Subscript a: mugreater than260 E. Upper H 0: muless than or equals260 Upper H Subscript a: mugreater than260 (claim) Your answer is correct.F. Upper H 0: mugreater than or equals260 (claim) Upper H Subscript a: muless than260 Part 2 (b) Find the standardized test statistic z. zequals enter your response here (Round to two decimal places as needed.)