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Question 1 Incentives for Quitting Smoking: Do They Work? In a smoking cessation program, over 2000 smokers who were trying to quit were randomly assigned to either a group program or an individual program. With no incentive, 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. Of the 498 participants in the group with the least success, 47 were still abstaining from smoking six months later. We wish to test to see if this provides evidence that even the smallest incentive works better than the proportion of 0.06 with no incentive at all. (c) Find the value of the sample statistic. (d) Use a randomization distribution and the observed sample statistic to find the p-value. e) Give the mean and standard error of the normal distribution that most closely matches the randomization distribution, and then use this normal distribution with the observed sample statistic to find the p-value. Round your answer for μ to two decimal places and your answers for the standard error and the p-value to three decimal places. (f) Use the standard error found from the randomization distribution in part (d) to find the standardized test statistic, and then use that test statistic to find the p-value using a standard normal distribution. Round your answers to three decimal places.

          Question 1
Incentives for Quitting Smoking: Do They Work?
In a smoking cessation program, over 2000 smokers who were trying
to quit were randomly assigned to either a group program or an
individual program. With no incentive, 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. Of the 498 participants in the group
with the least success, 47 were still abstaining from smoking six
months later. We wish to test to see if this provides evidence that
even the smallest incentive works better than the proportion of
0.06 with no incentive at all.
(c) Find the value of the sample statistic.
(d) Use a randomization distribution and the observed sample
statistic to find the p-value.
e) Give the mean and standard error of the normal distribution
that most closely matches the randomization distribution, and then
use this normal distribution with the observed sample statistic to
find the p-value.
Round your answer for μ to two decimal places and your
answers for the standard error and the p-value to
three decimal places.
(f) Use the standard error found from the randomization
distribution in part (d) to find the standardized test statistic,
and then use that test statistic to find the p-value
using a standard normal distribution.
Round your answers to three decimal places.

Added by Angela J.

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