Answer Happy

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 cigarettes or if they had ever smoked marijuana. Use the contingency table shown to the right to answer parts a and b. Marijuana Cigarettes Yes No Yes 909 47 No 571 739 a. Use the chi-square approach to test whether smoking a cigarette is independent of smoking marijuana. Test using an a= 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 have equal proportions. HA: Cigarette use and marijuana use have non-equal proportions. O B. Ho: Cigarette use and marijuana use are not independent. HA: Cigarette use and marijuana use are independent OC. Ho: Cigarette use and marijuana use have non-equal proportions. HA: Cigarette use and marijuana use have equal proportions. OD. 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 a = 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. Reject Ho. There is insufficient evidence to conclude that the two variables are not independent. O B. Do not reject Ho. There is sufficient evidence to conclude that the two variables are not independent. OC. Do not reject Ho. There is insufficient evidence to conclude that the two variables are not independent. OD. 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.)