Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through li

[answerhappygod]

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.)
State the distribution to use for the test. (Enter your answer
in the
form z or tdf where df is
the degrees of freedom.)
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.)
z=
What is the p-value?
p=
What is the alpha?
a=
Construct
a 95% confidence interval for the true proportion. Sketch the graph
of the situation. Label the point estimate and the lower and upper
bounds of the confidence interval. (Round your answers to four
decimal places.)