The Craven," by Mark Salangsang Once upon a morning dreary, In stats class I was weak and weary. Pondering over last night’s homework, Whose answers were now on the board This I did and nothing more. While I nodded nearly

3. "The Craven," by Mark Salangsang
Once upon a morning dreary, In stats class I was weak and weary.
Pondering over last night’s homework, Whose answers were now on the board
This I did and nothing more.
While I nodded nearly napping, Suddenly, there came a tapping.
As someone gently rapping, Rapping my head as I snore.
Quoth the teacher, “Sleep no more.”
“In every class you fall asleep,” The teacher said, his voice was deep.
“So a tally I’ve begun to keep, Of every class you nap and snore.
The percentage being forty-four.”
“My dear teacher I must confess, While sleeping is what I do best.
The percentage, I think, must be less, A percentage less than forty-four.”
This I said and nothing more.
“We’ll see,” he said and walked away, And fifty classes from that day
He counted till the month of May, The classes in which I napped and snored.
The number he found was twenty-four.
At a significance level of 0.05, Please tell me am I still alive?
Or did my grade just take a dive, Plunging down beneath the floor?
Upon thee I hereby implore.
(HINT: This is a test of proportion with sample proportion being 24/50 and the claimed proportion for population being 0.44)

a. If P’ is the proportion of classes in which the student actually falls asleep, define H0 and Hα.
b. Shall we use a t or z test statistic for this situation…and why?
c. What is the test statistic in this case? How exactly is it computed?
d. What is the approximate p-value associated with this test statistic?
e. At a 90% level of confidence…
-What value of alpha (the “critical” value) would we use for this test?
-What is the conclusion of this test? Meaning, do we decide to reject H0 (or not)?
-What is the reasoning behind this conclusion?
-In everyday English, what do we tell the student about the results of this test?