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An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ OC. Ho: H₁ C H₂ H₁: Hy > H₂ No candy Two candies OB. Ho: H₁ H₂ H₁: H1

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ OC. Ho: H₁ C H₂ H₁: Hy > H₂ No candy Two candies OB. Ho: H₁ H₂ H₁: H1

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
Section10.4: Distributions Of Data
Problem 19PFA
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D. Does the confidence interval support the conclusion with the hypothesis test?

 

No or yes because the confidence interval contains zero, only positive values, or negative values. 

 

 

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ C OC. Ho: H₁ H₂ H₁: Hy > H₂ O B. OD. No candy Two candies Ho. Hi#H2 H₁: H₁ <H₂ Ho: H=H2 H₁:₁ <H₂ μ n X S P₁ 20 18.49 1.36 1₂ 20 21.12 2.46
Transcribed Image Text:An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ C OC. Ho: H₁ H₂ H₁: Hy > H₂ O B. OD. No candy Two candies Ho. Hi#H2 H₁: H₁ <H₂ Ho: H=H2 H₁:₁ <H₂ μ n X S P₁ 20 18.49 1.36 1₂ 20 21.12 2.46
The test statistic, t, is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. OB. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. O D. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. b. Construct the confidence interval suitable for testing the claim in part (a). <H₁-H₂ (Round to two decimal places as needed.)
Transcribed Image Text:The test statistic, t, is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. OB. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. O D. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. b. Construct the confidence interval suitable for testing the claim in part (a). <H₁-H₂ (Round to two decimal places as needed.)
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