Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level. The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5 Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5 Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5 Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5 Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5 Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5 Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: Reject the null hypothesis Do not reject the null hypothesis

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level.

The null and alternative hypothesis would be:

 

  • H0:p≤0.5H0:p≤0.5
    Ha:p>0.5Ha:p>0.5
  • H0:μ≥0.5H0:μ≥0.5
    Ha:μ<0.5Ha:μ<0.5
  • H0:p=0.5H0:p=0.5
    Ha:p≠0.5Ha:p≠0.5
  • H0:p≥0.5H0:p≥0.5
    Ha:p<0.5Ha:p<0.5
  • H0:μ=0.5H0:μ=0.5
    Ha:μ≠0.5Ha:μ≠0.5
  • H0:μ≤0.5H0:μ≤0.5
    Ha:μ>0.5Ha:μ>0.5



The test is:

 

  • right-tailed
  • two-tailed
  • left-tailed



Based on a sample of 700 people, 43% owned cats

The test statistic is:  (Round to 2 decimals)

The p-value is:  (Round to 2 decimals)

Based on this we:

  • Reject the null hypothesis
  • Do not reject the null hypothesis
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman