A veterinarian is interested in researching the proportion of men and women cat owners and believesthat the proportion of men cat owners is smaller than the proportion of women cat owners. Theveterinarian decides to obtain two independent samples of men and women cat owners and finds from onesample of 80 men, 45% owned cats. In the second sample of 60 women, 50% owned cats. Test theveterinarian's belief at the a = 0.01 significance level.Preliminary:a. Is it safe to assume thatnmen 5% of all men andnwomen 5% of all women?O NoO Yesb. Verify np (1 - p) > 10. Round your answer to one decimal place.nmenp(1 - p) =n-womenp (1 - p) =Test the claim:a. Determine the null and alternative hypotheses.Ho: Pmen? ✓ PwomenHa: Pmen? ✓ Pwomenb. The hypothesis test isO left-tailedO two-tailedO right-tailedc. 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 Reject the null hypothesis.O Fail to reject the null hypothesis.f. Write the conclusion.O There is not enough evidence to support the veterinarian's belief.O There is enough evidence to support the veterinarian's belief.

Given: For men: n1 = 80 Sample proportion p1 = 0.45 For women: n2 = 60 Sample proportion p2 = 0.50 α…

A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is smaller 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, 45% owned cats. In the second sample of 60 women, 50% owned cats. Test the veterinarian's belief at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? O No O Yes b. Verify np (1) > 10. Round your answer to one decimal place. nmenp(1-p) = n-womenp(1 - p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha: Pmen? Pwomen b. The hypothesis test is O left-tailed O two-tailed Oright-tailed c. Determine the test statistic. Round to two decimal places. 2= d. Find the p-value. Round to four decimal places. p-value= e. Make a decision. Reject the hypothesis. O Fail to reject the null hypothesis. f. Write the conclusion. O There is not enough evidence to support the veterinarian's belief. O There is enough evidence to support the veterinarian's belief.

A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is smaller 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, 45% owned cats. In the second sample of 60 women, 50% owned cats. Test the veterinarian's belief at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? O No O Yes b. Verify np (1) > 10. Round your answer to one decimal place. nmenp(1-p) = n-womenp(1 - p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha: Pmen? Pwomen b. The hypothesis test is O left-tailed O two-tailed Oright-tailed c. Determine the test statistic. Round to two decimal places. 2= d. Find the p-value. Round to four decimal places. p-value= e. Make a decision. Reject the hypothesis. O Fail to reject the null hypothesis. f. Write the conclusion. O There is not enough evidence to support the veterinarian's belief. O There is enough evidence to support the veterinarian's belief.

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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