Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 33 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Enter your answer in the form z or t where df is the degrees of freedom.) O Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the sample ratio is 33 out of 64 or less. O If Ho is true, then there is a chance equal to the p-value that the sample ratio is not 33 out of 64 or more. O If Ho is true, then there is a chance equal to the p-value that the sample ratio is 33 out of 64 or less. O If Ho is false, then there is a chance equal to the p-value that the sample ratio is not 33 out of 64 or more.