Show transcribed image text A random sample of 84 eighth grade students' scores on a national mathematics assessment tost has a mean score of 273. This test result prompts a state school administrator to declare that the mean soore for the state's eighth graders on this exam is more than 270 Assume that the population standard deviation is 38. At Î±= 0.08, is there enough evidence to support the adminstrators dam? Complete parts (a) through (e). ut (a) Write the claim mathematically and idently Ho and Ha Choose the correct answer below O B. Ho pC270 O c. Ha: Î¼ > 270 (claim) Ho: Î¼ 2 270 (claim) H, u2 270 (claim) Ho: Î¼. 270 (dam) Ho: Î¼ s 270 (claim) Ha: Î¼ > 270 Ho: Î¼=270 O D. OE OF. : Î¼>270 (claim) b) Find the standardized test statistic z, and its oorresponding area. z # | | (Round to two decimal places as needed.) (e) Find the P-value. P-value"[ (Round to three decimal plaoes as needed.) (d) Decide whether to reject or fail to reject the nul hypothesis O Falil to reject Ho ants rary ons r Services O Reject Ho (e) Interpret your decision in the context of the original claim. Click to select your answerls)

A random sample of 84 eighth grade students' scores on a national mathematics assessment tost has a mean score of 273. This test result prompts a state school administrator to declare that the mean soore for the state's eighth graders on this exam is more than 270 Assume that the population standard deviation is 38. At Î±= 0.08, is there enough evidence to support the adminstrators dam? Complete parts (a) through (e). ut (a) Write the claim mathematically and idently Ho and Ha Choose the correct answer below O B. Ho pC270 O c. Ha: Î¼ > 270 (claim) Ho: Î¼ 2 270 (claim) H, u2 270 (claim) Ho: Î¼. 270 (dam) Ho: Î¼ s 270 (claim) Ha: Î¼ > 270 Ho: Î¼=270 O D. OE OF. : Î¼>270 (claim) b) Find the standardized test statistic z, and its oorresponding area. z # | | (Round to two decimal places as needed.) (e) Find the P-value. P-value"[ (Round to three decimal plaoes as needed.) (d) Decide whether to reject or fail to reject the nul hypothesis O Falil to reject Ho ants rary ons r Services O Reject Ho (e) Interpret your decision in the context of the original claim. Click to select your answerls)