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80% and surveys 100 people. Test the veterinarian's claim at the a = 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O Yes 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 = 0.8 Ho: p = 0.8 Ha:p < 0.8 Ha:p / 0.8 Ho:μ = 0.8 Ha: μ + 0.8 Ο Ηo : μ > 0.8 Ha: μ < 0.8 Ο Η: μ < 0.8 Ha: μ > 0.8 O Ho: p < 0.8 Ha:p> 0.8 b. The test is Select an answer ✓ c. Based on the sample of 100 people, 79% owned cats. Calculate the test statistic. Round to two decimal places. 2 =

80% and surveys 100 people. Test the veterinarian's claim at the a = 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O Yes 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 = 0.8 Ho: p = 0.8 Ha:p < 0.8 Ha:p / 0.8 Ho:μ = 0.8 Ha: μ + 0.8 Ο Ηo : μ > 0.8 Ha: μ < 0.8 Ο Η: μ < 0.8 Ha: μ > 0.8 O Ho: p < 0.8 Ha:p> 0.8 b. The test is Select an answer ✓ c. Based on the sample of 100 people, 79% owned cats. Calculate the test statistic. Round to two decimal places. 2 =

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
Section: Chapter Questions
Problem 9PT
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The proportion of people that own cats is 80%. A veterinarian believes that this proportion is smaller than 80% and surveys 100 people. Test the veterinarian's claim at the a= 0.025 significance level. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? Yes 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 Ho: p=0.8 Ha:p < 0.8 Ho:μ = 0.8 Ha: μ + 0.8 Ho:p < 0.8 Ha:p> 0.8 Ho: p=0.8 Ha:p / 0.8 Ο Η : μ > 0.8 Ha: μ < 0.8 Ο Η: μ < 0.8 Ha: μ > 0.8 b. The test is Select an answer c. Based on the sample of 100 people, 79% 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. Reject the null hypothesis O Fail to reject the null hypothesis There is sufficient evidence that the proportion of people who own cats is smaller. There is not sufficient evidence that the proportion of people who own cats is smaller. f. Make a conclusion.
Transcribed Image Text:The proportion of people that own cats is 80%. A veterinarian believes that this proportion is smaller than 80% and surveys 100 people. Test the veterinarian's claim at the a= 0.025 significance level. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? Yes 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 Ho: p=0.8 Ha:p < 0.8 Ho:μ = 0.8 Ha: μ + 0.8 Ho:p < 0.8 Ha:p> 0.8 Ho: p=0.8 Ha:p / 0.8 Ο Η : μ > 0.8 Ha: μ < 0.8 Ο Η: μ < 0.8 Ha: μ > 0.8 b. The test is Select an answer c. Based on the sample of 100 people, 79% 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. Reject the null hypothesis O Fail to reject the null hypothesis There is sufficient evidence that the proportion of people who own cats is smaller. There is not sufficient evidence that the proportion of people who own cats is smaller. f. Make a conclusion.
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