A university offers a certain course that students can take in-person or in an online setting. Teachers of the course were curious if there was a difference in the passing rate between two settings. The teachers selected random samples of 200 students who take the course in-person and 300 students who take the course online for the hypothesis testing. From these two independent samples, 80% of the students passed the in-person setting and 75% of students passed the online setting. They were willing to treat these as representative samples of all students who may take each setting of the course. (a) Test whether there is a difference in the passing rate between two course settings at 4% significant level. (b) Find the p-value of the test and does it lead to the same conclusion in (a)? (c) Find the 96% confidence interval to estimate the difference between the proportion of students who in each setting of the course (Pin-person · Ponline). pass

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A university offers a certain course that students can take in-person or in an online setting.
Teachers of the course were curious if there was a difference in the passing rate between two
settings. The teachers selected random samples of 200 students who take the course in-person
and 300 students who take the course online for the hypothesis testing. From these two
independent samples, 80% of the students passed the in-person setting and 75% of students
passed the online setting. They were willing to treat these as representative samples ofall students
who may take each setting of the course.
(a) Test whether there is a difference in the passing rate between two course settings at 4%
significant level.
(b) Find the p-value of the test and does it lead to the same conclusion in (a)?
(c) Find the 96% confidence interval to estimate the difference between the proportion of students
who
pass
in each setting of the course (Pin-p
'in-person – Ponline).
Transcribed Image Text:A university offers a certain course that students can take in-person or in an online setting. Teachers of the course were curious if there was a difference in the passing rate between two settings. The teachers selected random samples of 200 students who take the course in-person and 300 students who take the course online for the hypothesis testing. From these two independent samples, 80% of the students passed the in-person setting and 75% of students passed the online setting. They were willing to treat these as representative samples ofall students who may take each setting of the course. (a) Test whether there is a difference in the passing rate between two course settings at 4% significant level. (b) Find the p-value of the test and does it lead to the same conclusion in (a)? (c) Find the 96% confidence interval to estimate the difference between the proportion of students who pass in each setting of the course (Pin-p 'in-person – Ponline).
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