
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 36% of students will find
a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 160 students who visited the site
looking for a roommate. Of the students surveyed, 45 said they found a match their first time using the site.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that the
proportion, p, of all students who will find a match their first time using the site is 36%.
![(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.
Ho: 0
O<O
OSO
H;: 0
D=0
?
(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np > 10
and n (1-p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
np = ]
n(1-p) = 0](https://content.bartleby.com/qna-images/question/fae45c3a-9b07-4fd7-b503-dd6105939578/54aa2d36-5e66-4209-8457-301c1bdb3505/cmbmus_thumbnail.png)
Transcribed Image Text:(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.
Ho: 0
O<O
OSO
H;: 0
D=0
?
(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np > 10
and n (1-p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
np = ]
n(1-p) = 0
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