A contingency analysis table has been constructed from data obtained in a survey of high school students in which respondents were asked to indicate whether they had ever smoked cigarettesor if they had ever smoked marijuana. Use the contingency table shown to the right to answer parts a and b.a. Use the chi-square approach to test whether smoking a cigarette is independent of smoking marijuana. Test using an x = 0.05 level.Determine the null hypothesis (Ho) and the alternative hypothesis (HA). Choose the correct answer below.O A. Ho: Cigarette use and marijuana use are not independent.HA: Cigarette use and marijuana use are independent.OB. Ho: Cigarette use and marijuana use have non-equal proportions.HA: Cigarette use and marijuana use have equal proportions.OC. Ho: Cigarette use and marijuana use have equal proportions.HA: Cigarette use and marijuana use have non-equal proportions.O D. Ho: Cigarette use and marijuana use are independent.HA: Cigarette use and marijuana use are not independent.Calculate the chi-square test statistic.x² = (Round to two decimal places as needed.)Determine the critical value for α = 0.05.The chi-square critical value is(Round to four decimal places as needed.)Determine a conclusion. Choose the correct answer below.O A. Do not reject Ho. There is sufficient evidence to conclude that the two variables are not independent.O B. Do not reject Ho. There is insufficient evidence to conclude that the two variables are not independent.O C. Reject Ho. There is insufficient evidence to conclude that the two variables are not independent.O D. Reject Ho. There is sufficient evidence to conclude that the two variables are not independent.b. Calculate the p-value for this hypothesis test.p-value =(Round to four decimal places as needed.)CigarettesYesNoYes91446MarijuanaNo5747370

From given data we have : Yes NO Yes 914 574 NO 46…

Answered: A contingency analysis table has been…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO: No complaint Medical complaint Nonmedical complaint Total A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 423 patients was taken. Data was collected on whether a patient had filed a 177 111 135 Left 64 27 50 If the null hypothesis is Ho : pı = P2 = P3 and using a = 0.05, then do the following: (a) Find the expected number of people with no complaint who leave the HMO: (b) Find the expected number of people with a medical complaint who leave the HMO: (c) Find the expected number of people with a nonmedical complaint who leave the HMO: (d) Find the test statistic: (e) Find the degrees of freedom: (f) Find the critical value: (g) The final conclusion is OA. We…
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