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.
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
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Question

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.

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
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