t a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports,44%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 of165students who visited the site looking for a roommate. Of the students surveyed,60said 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 the0.10 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 44%.erform a Z-test and find the p-value. Here is some information to help you with your Z-test.The value of the test statistic is given by−ppp−1pn.The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal DistributionStep 1: Select one-tailed or two-tailed. One-tailed Two-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value.(Round to 3 decimal places.) 0.10.20.30.41−12−23−3

Sample size (n)=165 Of the students surveyed 60 said they found a match their first time using the…

Answered: t a nearby college, there is a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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t a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports,

44%

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

165

students who visited the site looking for a roommate. Of the students surveyed,

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,

, of all students who will find a match their first time using the site is

44%

erform a Z-test and find the p-value.
Here is some information to help you with your Z-test.

The value of the test statistic is given by

−ppp−1pn

.
The p-value is two times the area under the curve to the left of the value of the test statistic.

Standard Normal Distribution

Step 1: Select one-tailed or two-tailed.

One-tailed

Two-tailed

Step 2: Enter the test statistic.
(Round to 3 decimal places.)

Step 3: Shade the area represented by the p-value.

Step 4: Enter the p-value.
(Round to 3 decimal places.)

0.1

0.2

0.3

0.4

−1

−2

−3

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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