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A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 40% owned cats. In the second sample of 60 women, 65% owned cats. Test the veterinarian's belief at the a = 0.2 significance level. Preliminary: a. Is it safe to assume that Nmen < 5% of all men and nwomen < 5% of all women? Yes No b. Verify np(1 – p) > 10. Round your answer to one decimal place. nmenP (1 – p) nwomenP (1 – p) Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen ? v Pwomen Ha: Pmen ? Pwomen b. The hypothesis test is O right-tailed two-tailed O left-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.

A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 40% owned cats. In the second sample of 60 women, 65% owned cats. Test the veterinarian's belief at the a = 0.2 significance level. Preliminary: a. Is it safe to assume that Nmen < 5% of all men and nwomen < 5% of all women? Yes No b. Verify np(1 – p) > 10. Round your answer to one decimal place. nmenP (1 – p) nwomenP (1 – p) Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen ? v Pwomen Ha: Pmen ? Pwomen b. The hypothesis test is O right-tailed two-tailed O left-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 40% owned cats. In the second sample of 60 women, 65% owned cats. Test the veterinarian's belief at the a = 0.2 significance level. Preliminary: a. Is it safe to assume that nmen < 5 % of all men and nwomen < 5 % of all women? Yes No b. Verify np (1 – p) > 10. Round your answer to one decimal place. nmenP (1 – p) nwomenP (1 – p) Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen ? v pwomen Ha: Pmen ? v pPwomen b. The hypothesis test is O right-tailed O two-tailed O left-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.
Transcribed Image Text:A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 40% owned cats. In the second sample of 60 women, 65% owned cats. Test the veterinarian's belief at the a = 0.2 significance level. Preliminary: a. Is it safe to assume that nmen < 5 % of all men and nwomen < 5 % of all women? Yes No b. Verify np (1 – p) > 10. Round your answer to one decimal place. nmenP (1 – p) nwomenP (1 – p) Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen ? v pwomen Ha: Pmen ? v pPwomen b. The hypothesis test is O right-tailed O two-tailed O left-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.
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