A study was performed to compare two treatment regimens for smokers who wish to stop smoking. The two treatments are: Tr

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A Study Was Performed To Compare Two Treatment Regimens For Smokers Who Wish To Stop Smoking The Two Treatments Are Tr 1 (120.06 KiB) Viewed 40 times

A study was performed to compare two treatment regimens for smokers who wish to stop smoking. The two treatments are: Treatment A: Use Nicorette chewing gum, which is a nicotine replacement. Treatment B: Switch to e-cigarettes. . A total of 600 smokers were randomly allocated to one of the two treatments. The outcome after 12 weeks is summarised in the following contingency table. Stop Smoking Treatment Yes Smoke less No Total А 144 92 164 400 B 54 37 109 200 Total 198 129 273 600 o Given: The value of the test statistic is x2 = 9.869. Use a = 0.05 as the level of significance. o a) Choose the correct null-hypothesis: OH : There is a positive linear correlation between Stop Smoking and Treatment. O Ho : Stop Smoking and Treatment are independent. O Ho : There is no linear correlation between Stop Smoking and Treatment. O Ho : Stop Smoking and Treatment are dependent. OH : There is a negative linear correlation between Stop Smoking and Treatment.
b) Calculate the probability that a randomly selected participant will stop smoking: from Treatment B will stop smoking: Round your answers to 4 decimal places. c) For Treatment B calculate the expected frequencies by completing the following table: Stop Smoking Treatment Yes Smoke less No B Round your answers to 4 decimal places.
d) A necessary condition to perform the hypothesis test is: O The observed frequencies must be at least 5. The observed frequencies must be at least 30. The cell x2-values must be at least 20.96 = 1.645. The row and column totals must be at least 30. O The expected frequencies must be at least 30. The cell x2-values must be at least 30.975 = 1.96. The sample size must be at least 30. The expected frequencies must be at least 5. e) Give the critical value when you perform the hypothesis test. Round your answer to 2 decimal places. f) Choose the correct decision and conclusion. O Do not reject H, and conclude that the outcome of Smoking is related to Treatment. O Reject Ho and conclude that the outcome of Smoking is not related to Treatment. Do not reject H, and conclude that the outcome of Smoking is not related to Treatment. O Reject Hy and conclude that the outcome of Smoking is related to Treatment.