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 500 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 A 152 96 152 400 B 26 18 56 100 Total 178 114 208 500 The hypotheses to be tested are Ho : Treatment and Stop Smoking are independent. H : Treatment and Stop Smoking are dependent. . Hi : Treatment and Stop Smoking are dependent. Given: The value of the test statistic is x2 = 10.73. Use a = 0.1 as the level of significance. O O a) The interpretation of marginal and conditional probabilities enables us to get an idea of the dependence or relationship between two categorical variables. Calculate the probability that a randomly selected participant will stop smoking. Round your answer to 2 decimal places. Calculate the probability that a randomly selected participant from Treatment B will stop smoking. Round your answer to 2 decimal places, Submit part 2 marks . Calculate the following probabilities. The probability that a randomly selected participant is allocated to Treatment A and smoked less. Round your answer to 2 decimal places. The probability that a randomly selected participant is allocated to Treatment A or did not stop smoking. Round your answer to 2 decimal places. Submit part 2 marks Unanswered c) Under the null hypothesis of independence, calculate the expected number of participants allocated to Treatment B, who will stop smoking. Round your answer to the nearest integer. Submit part d) O The row and column totals must be at least 30. A necessary condition to perform the x-test of independence is: O The cell x2-values must be at least 20.975 1.96. O The cell XP-values must be at least 20.95 - 1.645. The observed frequencies must be at least 5. The observed frequencies must be at least 30. The sample size must be at least 30. O The expected frequencies must be at least 5. O The expected frequencies must be at least 30. submit part 1 mark Unanswered e) Give the critical value when you perform the hypothesis test defined above. Round your answer to 2 decimal places ULOUUU52 f) Choose the correct decision and conclusion. O Do not reject Ho and conclude that the outcome of Smoking is not related to Treatment. Reject H, and conclude that the outcome of Smoking is not related to Treatment. O Reject Ho and conclude that the outcome of Smoking is related to Treatment. Do not reject Ho and conclude that the outcome of Smoking is related to Treatment