0.4 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3 - Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value. 0.1 - Step 4: Enter the p-value. (Round to 3 decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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%.
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%.
(C) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
p-p
• The value of the test statistic is given by
p(1-p)
n
• The p-value is two times the area under the curve to the left of the value of the test statistic.
Standard Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.3
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2
Step 3: Shade the area represented by
the p-value.
0.1+
Step 4: Enter the p-value.
(Round to 3 decimal places.)
Transcribed Image Text:(C) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. p-p • The value of the test statistic is given by p(1-p) n • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.)
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