Question
The proportion of people that own cats is 60%. A veterinarian believes that this proportion is...
The proportion of people that own cats is 60%. A veterinarian believes that this proportion is larger than 60% and surveys 400 people. Test the veterinarian's claim at the α=0.10 significance level.
Preliminary:
- Is it safe to assume that n≤0.05 of all subjects in the
population?
- Yes
- No
- Verify np(1−p)≥. Round your answer to one decimal
place.
np(1−p)=
Test the claim:
- The null and alternative hypotheses are
- H0:μ≥0.6
Ha:μ<0.6 - H0:μ=0.6
Ha:μ≠0.6 - H0:p=0.6
Ha:p≠0.6
- H0:p≤0.6
Ha:p>0.6 - H0:μ≤0.6
Ha:μ>0.6 - H0:p=0.6
Ha:p<0.6
- H0:μ≥0.6
- The test is
Select an answer left-tailed two-tailed right-tailed - Based on the sample of 400 people, 65% owned cats. Calculate
the test statistic. Round to two decimal places.
z= - Calculate the pp -value. Round to four decimal
places.
- Make a decision.
- Fail to reject the null hypothesis
- Reject the null hypothesis
- Make a conclusion.
- There is not sufficient evidence that the proportion of people who own cats is larger.
- There is sufficient evidence that the proportion of people who own cats is larger.
Homework Answers
Answer #1
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