Right-Tailed, Left-Tailed, Two-Tailed? Is the hypothesis test in Exercise 1 right-tailed, left-tailed, or two-tailed? Explain your choice. Exercise Smoking Cessation? The accompanying table summarizes successes and failures when subjects used different methods when trying to stop smoking. The determination of smoking or not smoking was made five months after the treatment was begun, and the data are based on results from the Centers for Disease Control and Prevention. If we test the claim that success is independent of the method used, the TI-83/84 Plus calculator provides a ?P?-value of 0.216 (rounded). What does the ?P?-value tell us about that claim? N N N i i i c c c o o o t t t i i i n n n e e e G I P u n a m t h a c l h e r S m o 1 2 9 k 9 6 5 i 1 3 n g N o t S m 5 5 2 o 9 7 7 k i n g
Solution 4BSC Step1: From the above given problem we have Nicotine gum Nicotine patch Nicotine inhaler Smoking 191 263 95 Not smoking 59 57 27 Step2: Our aim is to find Is the hypothesis test Right-Tailed, Left-Tailed, Two-Tailed Now, chi-square can be calculated by using the formula 2 (O E) = E Where, O = observed frequencies E = expected frequencies Here, in the numerator if the sum of these weighted squared deviations is small, we see that the observed frequencies are close to the expected frequencies and there would be no reason to reject the claim that it came from that distribution. Therefore, The “chi-square goodness-of-fit test is always a right tail test”. Only when the sum is large is the reason to reject the claim regarding the distribution.