Cole, a researcher with the Miller Animal Research Association, is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is more than than the proportion of women cat owners. Cole obtains two independent samples of men and women cat owners and finds from one sample of 68 men (group 1), 27 owned cats. In the second sample of 56 women (group 2), 17 owned cats. Test Cole's claim at the a = 0.1 significance level. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: ? ✓ ? く ? ✓ H₁: ? ✓ ? く ? ✓ b. What is the appropriate distribution to use for the hypothesis test? Select an answer ✓ c. Find the test statistic. Test Statistic: d. Determine the P-value: P-value: e. What decision results from the test? Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. ○ The test results are inconclusive. No conclusion can be made about Cole's claim. ○ There is insufficient evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are not statistically significant. O The evidence disproves the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant. ○ There is evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant.

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Cole, a researcher with the Miller Animal Research Association, is interested in researching the proportion
of men and women cat owners and believes that the proportion of men cat owners is more than than the
proportion of women cat owners. Cole obtains two independent samples of men and women cat owners and
finds from one sample of 68 men (group 1), 27 owned cats. In the second sample of 56 women (group 2), 17
owned cats. Test Cole's claim at the a = 0.1 significance level. Round answers to 4 decimal places where
appropriate.
a. State the null and alternative hypotheses.
Ho: ? ✓ ?
く ? ✓
H₁: ? ✓ ? く ? ✓
b. What is the appropriate distribution to use for the hypothesis test?
Select an answer ✓
c. Find the test statistic.
Test Statistic:
d. Determine the P-value:
P-value:
e. What decision results from the test? Select an answer
f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the
test means.
○ The test results are inconclusive. No conclusion can be made about Cole's claim.
○ There is insufficient evidence to support the claim that the proportion of men cat owners is more
than than the proportion of women cat owners. The data are not statistically significant.
O The evidence disproves the claim that the proportion of men cat owners is more than than the
proportion of women cat owners. The data are statistically significant.
○ There is evidence to support the claim that the proportion of men cat owners is more than than the
proportion of women cat owners. The data are statistically significant.
Transcribed Image Text:Cole, a researcher with the Miller Animal Research Association, is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is more than than the proportion of women cat owners. Cole obtains two independent samples of men and women cat owners and finds from one sample of 68 men (group 1), 27 owned cats. In the second sample of 56 women (group 2), 17 owned cats. Test Cole's claim at the a = 0.1 significance level. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: ? ✓ ? く ? ✓ H₁: ? ✓ ? く ? ✓ b. What is the appropriate distribution to use for the hypothesis test? Select an answer ✓ c. Find the test statistic. Test Statistic: d. Determine the P-value: P-value: e. What decision results from the test? Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. ○ The test results are inconclusive. No conclusion can be made about Cole's claim. ○ There is insufficient evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are not statistically significant. O The evidence disproves the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant. ○ There is evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant.
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