mple of eigh scores on a national mathematics assessment test has a mean score of 266. This test result prompts a state school administrator to declare that the core for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33. At a=0.11, is there enough evidence to support the administrator's Complete parts (a) through (e). Ho: μ = 260 (claim) H₂:μ> 260 Ho: μ=260 Ha: μ> 260 (claim) d the standardized test statistic z. (Round to two decimal places as needed.) d the P-value. le= (Round to three decimal places as needed.) ecide whether to reject or fail to reject the null hypothesis. Reject Ho Fail to reject Ho terpret your decision in the context of the original claim. e 11% significance level, there enough evidence to OB. Ho: ≤260 (claim) H₂:μ> 260 O E. Ho: μ≤260 Ha: μ> 260 (claim) OC. Ho: 2260 (claim) H₂:μ< 260 OF. Ho: < 260 H₂:μ ≥260 (claim) the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.