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). What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H₁₂ O μ n x S No candy H1 26 19.07 1.51 Two candies H2 26 21.87 2.31 OB. Ho H₁₂ H₁₁₂ D. Ho: H1 H2 H₁₁₂ H₁ H1 H2 The test statistic, t, is -5.17. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. OA. 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. 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 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.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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).
What are the null and alternative hypotheses?
OA. Ho H1 H2
H₁: H₁₂
O
μ
n
x
S
No candy
H1
26
19.07 1.51
Two candies
H2
26
21.87 2.31
OB. Ho H₁₂
H₁₁₂
D. Ho: H1 H2
H₁₁₂
H₁ H1 H2
The test statistic, t, is -5.17. (Round to two decimal places as needed.)
The P-value is 0.000. (Round to three decimal places as needed.)
State the conclusion for the test.
OA. 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.
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 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.)
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 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). What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H₁₂ O μ n x S No candy H1 26 19.07 1.51 Two candies H2 26 21.87 2.31 OB. Ho H₁₂ H₁₁₂ D. Ho: H1 H2 H₁₁₂ H₁ H1 H2 The test statistic, t, is -5.17. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. OA. 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. 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 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.)
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