Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds parts (a) through (d) below. emean IQ is 104.5 with a standard deviation of 13.6. Complete 2.07 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.023 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance. O B. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance. c. Reject Ho. There is sufficient evidence t conclude that the mean IQ score of people in the country is greater than 100 at the a =0.10 level of significance. O D. Reject Ho- There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a =0.10 level of significance. (b) Consider the hypotheses Ho: = 101 versus H,: u> 101. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 101. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 101. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 101. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101. Find the test statistic for this hypothesis test. O(Round to two decimal places as needed.)

A medical researcher tested a new treatment for poison ivy against the traditional ointment. He concluded that the new treatment is more effective. Explain what the P-value of 0.037 means in this context. Explain what the P-value of 0.037 means in this context. O A. There is a 3.7% difference between the effectiveness of the new treatment and the effectiveness of the traditional ointment. O B. If there is no difference in effectiveness, the chance of seeing an observed difference this large or larger is 3.7% by natural sampling variation. O C. If there is a difference in effectiveness, the chance of seeing an observed difference this large or larger is 3.7% by natural sampling variation. D. There is a 3.7% chance that the new treatment is effective.