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1. A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from the school claims the score is at least 30. At 5%% level of significance is there enough evidence to support the evaluator's claim? Assume the population standard deviation is 4.5 points. a. Display the hypothesis structure, identify the claim and the test type b. Find the p-value and indicate if the null hypothesis should be rejected or not. p - c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis Circle one: Reject Claim Accept Claim d. Write your verbal conclusion about the claim at the 5% level of significance. e. Would the result change if the test was performed at the 6% level of significance? Explain. 2. A research facility claims that more than 74.4% of women in a certain age group are taller than 61.8 inches. In a random sample of 152 women from that group approximately 122 are taller than 61.8 inches. At the 4% level of significance is there enough evidence to support the facility's claim? a. Display the hypothesis structure, identify the claim and the test type b. Find the p-value and indicate if the null hypothesis should be rejected or not. p = c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis Circle one: Reject Claim Accept Claim d. Write your verbal conclusion about the claim at the 4% level of significance e. Would the result change if the test was performed at the 5% level of significance? Explain. O Ei G W