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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.

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
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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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