7. If an original claim for a population is = 5.00 and the data leads to the initial conclusion to fail to rejectthe null hypothesis, which of the following is a correct statement of the final conclusion?

a.There is sufficient evidence to warrant rejection of the claim that the mean is 5.00.

b.The sample data support the claim that the mean is 5.00.

c. There is not sufficient evidence to warrant rejection of the claim that the mean is 5.00.

d.There is not sufficient sample evidence to support the claim that the mean is 5.00.

8. During a recent election, a clerk was responsible for the placement of candidate's names on election ballots for a particular voting precinct. Party A candidates were selected for the first position in 21 of 30 ballots. Because the clerk was supposed to use a method of random selection, Party B claimed that instead of using randomness, the clerk used a method favoring Party A. Use a 0.05 significance level to test the claim that the method favored Party A. [Note: Favored means a proportion greater than 50%.]

a.Clearly identify and state the null hypothesis H₀ and the alternative hypothesis H₁.

b. Determine the critical value(s)and the value of the appropriate test statistic (to nearest 0.001).

c. Do you reject or fail to rejectthe null hypothesis? Justify your answer using the Critical Value method.

d. Using Figure 8-5 on p. 366, clearly state your final conclusion.

9. A simple random sample of 25 math students resulted in a mean IQ of 113.5 with a standard deviation of 12.5 Use a 0.05 significance level to test a claim that math students have a mean IQ greater than 110. [Note: Assume the population standard deviation is unknown.]

a.Clearly identify and state the null hypothesis H₀ and the alternative hypothesis H₁.

b. Determine the critical value(s) and the value of the appropriate test statistic(to nearest 0.001). [Note: Table A-3 might be helpful for critical value(s).]

c. Do you reject or fail to rejectthe null hypothesis? Justify your answer using the Critical Value method.

d.Using Figure 8-5 on p. 366, clearly state your final conclusion.