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 that35feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level.

State the distribution to use for the test. (Enter your answer in the formzort_dfwheredfis the degrees of freedom.)

What is the test statistic?

What is thep-value?

Construct a 95% confidence interval for the true proportion