The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller than 20% and surveys 100 people. Test the veterinarian's claim at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O Yes O No b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place.

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
b. The test is
Select an answer ✓
c. Based on the sample of 100 people, 16% owned cats. Calculate the test statistic. Round to two
decimal places.
2 =
d. Calculate the p-value. Round to four decimal places.
e. Make a decision.
O Fail to reject the null hypothesis
O Reject the null hypothesis
f. Make a conclusion.
O There is sufficient evidence that the proportion of people who own cats is smaller.
O There is not sufficient evidence that the proportion of people who own cats is smaller.
Transcribed Image Text:b. The test is Select an answer ✓ c. Based on the sample of 100 people, 16% owned cats. Calculate the test statistic. Round to two decimal places. 2 = d. Calculate the p-value. Round to four decimal places. e. Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis f. Make a conclusion. O There is sufficient evidence that the proportion of people who own cats is smaller. O There is not sufficient evidence that the proportion of people who own cats is smaller.
The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller
than 20% and surveys 100 people. Test the veterinarian's claim at the a = 0.01 significance level.
Preliminary:
a. Is it safe to assume that n ≤ 0.05 of all subjects in the population?
Yes
O No
b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place.
np(1 - p)
Test the claim:
=
a. The null and alternative hypotheses are
O Ho: P
Ο Ho: μ > 0.2
Ha:μ < 0.2
Ho:p ≤ 0.2
Ha:p> 0.2
Ο Η: μ < 0.2
Ha:μ > 0.2
Ha:p 0.2
Ηο:μ
Ha:
= = 0.2
O
=
0.2
0.2
Ho: p = 0.2
Ha:p < 0.2
Transcribed Image Text:The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller than 20% and surveys 100 people. Test the veterinarian's claim at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Yes O No b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are O Ho: P Ο Ho: μ > 0.2 Ha:μ < 0.2 Ho:p ≤ 0.2 Ha:p> 0.2 Ο Η: μ < 0.2 Ha:μ > 0.2 Ha:p 0.2 Ηο:μ Ha: = = 0.2 O = 0.2 0.2 Ho: p = 0.2 Ha:p < 0.2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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