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The proportion of people that own cats is 80%. A veterinarian believes that this proportion is significantly different than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.05 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No Yes 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 H : }=0.8 Haμ0.8 Ho p≤0.8 Ha p > 0.8 . Ho: p=0.8 Ha: p 0.8 Ο Η : μ < 0.8 : Ha p>0.8 Η : μ Σ 0.8 Ha : μ < 0.8 Ho: p=0.8 Ha p < 0.8 b. The test is Select an answer c. Based on the sample of 500 people, 75% owned cats. Calculate the test statistic. Round to two decimal places. x = d. Calculate the p-value. Round to four decimal places. e. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis f. Make a conclusion. There is not sufficient evidence that the proportion of people who own cats is significantly different. There is sufficient evidence that the proportion of people who own cats is significantly different.

The proportion of people that own cats is 80%. A veterinarian believes that this proportion is significantly different than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.05 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No Yes 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 H : }=0.8 Haμ0.8 Ho p≤0.8 Ha p > 0.8 . Ho: p=0.8 Ha: p 0.8 Ο Η : μ < 0.8 : Ha p>0.8 Η : μ Σ 0.8 Ha : μ < 0.8 Ho: p=0.8 Ha p < 0.8 b. The test is Select an answer c. Based on the sample of 500 people, 75% owned cats. Calculate the test statistic. Round to two decimal places. x = d. Calculate the p-value. Round to four decimal places. e. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis f. Make a conclusion. There is not sufficient evidence that the proportion of people who own cats is significantly different. There is sufficient evidence that the proportion of people who own cats is significantly different.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The proportion of people that own cats is 80%. A veterinarian believes that this proportion is significantly different than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.05 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No Yes 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 H : }=0.8 Haμ0.8 Ho p≤0.8 Ha p > 0.8 . Ho: p=0.8 Ha: p 0.8 Ο Η : μ < 0.8 : Ha p>0.8 Η : μ Σ 0.8 Ha : μ < 0.8 Ho: p=0.8 Ha p < 0.8 b. The test is Select an answer c. Based on the sample of 500 people, 75% owned cats. Calculate the test statistic. Round to two decimal places. x = d. Calculate the p-value. Round to four decimal places. e. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis f. Make a conclusion. There is not sufficient evidence that the proportion of people who own cats is significantly different. There is sufficient evidence that the proportion of people who own cats is significantly different.
Transcribed Image Text:The proportion of people that own cats is 80%. A veterinarian believes that this proportion is significantly different than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.05 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No Yes 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 H : }=0.8 Haμ0.8 Ho p≤0.8 Ha p > 0.8 . Ho: p=0.8 Ha: p 0.8 Ο Η : μ < 0.8 : Ha p>0.8 Η : μ Σ 0.8 Ha : μ < 0.8 Ho: p=0.8 Ha p < 0.8 b. The test is Select an answer c. Based on the sample of 500 people, 75% owned cats. Calculate the test statistic. Round to two decimal places. x = d. Calculate the p-value. Round to four decimal places. e. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis f. Make a conclusion. There is not sufficient evidence that the proportion of people who own cats is significantly different. There is sufficient evidence that the proportion of people who own cats is significantly different.
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