4. A professor expects about 30% of his class to get an A in a typical semester. He wonders if this proportion is different in a summer sesion. He collects data on 11 students taking a course with him over the summer and olserves 4 of them getting an A. Is there evidenoe that the proportion of students getting an A in the summer session is different from the proportion getting an A in a typical semester? To answer this question, do the follow: (a) Write out the hypotheses. (b) Discus whether assumptions are met for uwsing the Central Limit Theorem. Based on this, indicate the most appropriate test to conduct for testing the lypotheses. (e) Write the R code for conducting this test.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4. A professor expects about 30% of his class to get an A in a ty pical semester. He wonders if this proportion
is difkerent in a summer session. He collects data on 11 students taking a course with him over the summer
and olserves 4 of them getting an A. Is there evidenoe that the proportion of students getting an A in
the summer session is different from the proportion getting an A in a typical semester? To answer this
question, do the follow:
(n) Write out the hypotheses.
(b) Discus whether assumptions are met for using the Central Limit Thoorem. Based on this, indicate
the most appropriate test to conduct for testing the lypotheses.
(e) Write the R code for conducting this test.
Transcribed Image Text:4. A professor expects about 30% of his class to get an A in a ty pical semester. He wonders if this proportion is difkerent in a summer session. He collects data on 11 students taking a course with him over the summer and olserves 4 of them getting an A. Is there evidenoe that the proportion of students getting an A in the summer session is different from the proportion getting an A in a typical semester? To answer this question, do the follow: (n) Write out the hypotheses. (b) Discus whether assumptions are met for using the Central Limit Thoorem. Based on this, indicate the most appropriate test to conduct for testing the lypotheses. (e) Write the R code for conducting this test.
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