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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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
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