Mu_x bar = mu sigma^x bar = sigma/squareroot pi mu_p bar = p sigma_p = squareroo

Question

Mu_x bar = mu sigma^x bar = sigma/squareroot pi mu_p bar = p sigma_p = squareroot p(1 - p)/n z = x - mu/sigma Use the following steps to evaluate all test of hypothesis. 1. State the null and alternative hypothesis. 2. Select the distribution to use? 3. Write the decision rule. (Define the rejection region) 4. Calculate the test statistic. 5. Calculate the p-value. 6. Make a decision. According to the College Board, the average cost of tuition and fees for the 2016-2017 school year was $9.650 for state residents at public colleges. Sam Houston state university wants to demonstrate that they are more cost effective than the national average. a. Write the null and alternative hypothesis to test the claim. b. Describe what a Type I error would be in the context of the study. c. Describe what a Type II error would be in the context of the study.

Explanation / Answer

b. Type I error for the problem is rejecting null hypothesis that means H0:m=9650 will be rejected when it is true.

c. Type II error for the problem is accepting null hypothesis that means H0:m=9650 will be accepted when it is false and the alternative hypothesis H1:m>9650 is true.

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