An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. Themean tip percentages and standard deviations are given in the accompanying table along with the samplesizes. Assume that the two samples are independent simple random samples selected from normallydistributed populations, and do not assume that the population standard deviations are equal. Complete parts(a) and (b).a. Use a 0.01 significance level to test the claim that giving candy does result in greater tips.What are the null and alternative hypotheses?OA. Ho: H₁ H₂H₁ H₁ H₂C. Ho: H₁ = H₂H₁ H₁ H₂The test statistic, t, isThe P-value is 0.00. (Round to three decimal places as needed.)State the conclusion for the test.-4.66. (Round to two decimal places as needed.)No candyTwo candiesB. Ho: ₁₂H₁: Hy > H₂D. H₂:1₁=₂H₁: H₁ H₂A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips.B. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips.C. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips.Fail to reject the null hypothesis. There is 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).

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Answered: b. Construct the confidence interval…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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b. Construct the confidence interval suitable for testing the claim in part (a). |<₁-1₂ | (Round to two decimal places as needed.)