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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
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). n x S No candy Two candies H2 H 18.04 1.56 33 20.21 2.55 a. Use a 0.01 significance level to test the claim that giving candy does esult in greater tips. What are the null and alternative hypotheses? OA. Ho: H =H2 H1 H1 H2 OC. Ho: H=2 H B. Ho: H1 H2 H OD. Ho H =H2 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. A. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result i greater tips. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OC. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. OD. Fail to 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). (Round to two decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains
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