2. An education researcher claims that the mean high school graduation rate per state in the United States is 80%. You want to test this claim. You find that a random sample of 30 states has a mean high school graduation rate of 82%. Assume the population standard deviation is 5.1%. At a=0.05, do you have enough evidence to support the researcher's claim? Write out the hypothesis statements below and identify the parameter of interest. Ho: H=0.80(claim) Parameter of Interest M=Mean high school graduation rate Ha: H#0.80 Two tailed test per state in the US Which hypothesis represents the claim? Circle one: Null Hypothesis (Ho) or Alternative Hypothesis (Ha) Explain what type of hypothesis testing you will perform and verify that the conditions are met. This corresponds to a two-tailed test, for which a z-test for one mean, with known mean(30), population standard deviation, random sample will be use. Test this hypothesis. (SHOW WORK!) Clearly label a sketch with appropriate shading and calculate the test statistic. Text Would you reject or fail to reject the null hypothesis? Circle one: Reject Hoor Fail to Reject Ho Explain your choice: The test statistic 2. 148 is not in the rejection region. Write a conclusion in the context of this problem. Therefore, there is enough evidence to claim that the population mean u is different than 0.80, at the 0.05 significance level