est the claim that the proportion of people who own cats is smaller than 40% at the 0.05 significance level. The null and alternative hypothesis would be:   H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4   H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4   H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4   H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4   H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4   H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 The test is:   left-tailed two-tailed right-tailed Based on a sample of 100 people, 33% owned cats The test statistic is:  (to 2 decimals) The p-value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis 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
Topic Video
Question

Test the claim that the proportion of people who own cats is smaller than 40% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4
 
H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4
 
H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4
 
H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4
 
H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4
 
H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 100 people, 33% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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