Question

NCBM 0142 Day 18 Ch. 5 page 1 of 1 In Chapter 5, we learned these two general formulas: 3 General Confidence interval Sample Statistie SE Test Statistic Sample Sunse-Nollar 1. Incentives for Quitting Smoking: Do They Work? Exercise 5,31 describes a study examining incentives to quit smoking. With NO incentives, the proportion of smokers trying to quit who are still abstaining six months later is about 0.06. Participants in the study were randomly assigned to one of four different incentives, and the proportion successful was measured six months later. The four treatment groups different incentives and different rates of success Consider the least successful group. of the 498 participants in the group with the least success, 47 were still abstaining from smokings months later. Test to see if this provides evidence that even the least successful incentive works better than the proportion of 0.06 with no incentive at all Use SE-0.0106 Hypotheses: Sample statistic (including notation and numerical valuel Test statistic (z-score): p-value from Starkey If you write a conclusion, in context, with "strength of evidence language, what adjective is appropriate to describe how strong the evidence is for Ha? Assuming this was a well-designed study, and you had read about it, and you were smoker who wanted to quit smoking, what would this say to you about trying to quit meking on your own with me incentives? Write something in your own words 2. Using the information in the previous problem, find a confidence interval for the population proportion of success in abstaining from smoking at least six months for people with the particular Incentive Use SE 0.0131

Answer 1

Question is answered below.

Date Page No. 0 Hypotheses: Null'hypothesis. Ho : P = 0.06 Alternative hypothesis, Hq : $ 70.06 sample statute x=47, n=498 = 0.094 , SE=0.0106 498 Test statistic B - b Z-score = SE 0.000669. = 0.094 -0.06 3-2075 0.0106 þ-value = The result is significant There is sufficient evidence to all conclude that even the least successful incentive works better than the proportions o Ô 6 wuth no in centre at all.

Page No. # There is significant difference betwillen proportions & tan So, I would like to quit smoking there is no incentive 99%. Confidence interval # 2². SE 0.094 + 2.58 x 0.013/ 99205 (0.060202 0.094 € 0.033798 0-127798