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.
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Chapter1: Starting With Matlab
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Problem 1P
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffcb4ca2-b8fe-47a0-9702-5b2506709f25%2F98196858-4992-40be-82fa-465f01fbfe95%2Fqhfulr_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffcb4ca2-b8fe-47a0-9702-5b2506709f25%2F98196858-4992-40be-82fa-465f01fbfe95%2Fmgcf6qa_processed.png&w=3840&q=75)
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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