Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level. The alternative hypothesis would be: μ<0.8μ<0.8 p>0.8p>0.8 μ>0.8μ>0.8 μ≠0.8μ≠0.8 p<0.8p<0.8 p≠0.8p≠0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 400 people, 71% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis The conclusion is: At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly less than 80 percent. At the 0.01 alpha level, I was unable to show that proportion of people who own cats is significantly less than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is equal to 80 percent.

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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Question

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level.

The alternative hypothesis would be:

μ<0.8μ<0.8

p>0.8p>0.8

μ>0.8μ>0.8

μ≠0.8μ≠0.8

p<0.8p<0.8

p≠0.8p≠0.8

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 400 people, 71% owned cats

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

The conclusion is:

At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent.
At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent.
At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent.
At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly less than 80 percent.
At the 0.01 alpha level, I was unable to show that proportion of people who own cats is significantly less than 80 percent.
At the 0.01 alpha level, I was able to show that the proportion of people who own cats is equal to 80 percent.

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