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How to quit smoking Refer to Exercise 37. Which treatment seems to be most effective? Least effective? Justify your choices.

Short Answer

Expert verified

The most effective treatment is a patch plus drug and the least effective is a Nicotine patch.

Step by step solution

01

Given information

We need to find the most effective and least effective treatment to quit smoking.

02

Explanation

We know that

Expected frequencies are a product of row and column total divided by table total. So,

ROW AND COLUMN NUMBEREXPECTED FREQUENCY
E11
61.75
E12
182.25
E21
61.75
E22
182.25
E31
62.00
E32
183.00
E41
40.49
E42
119.51

For the treatment Nicotine patch, the predicted frequency of the number of successes deviates the greatest from the observed frequency, despite the fact that the expected frequency is higher than the observed frequency (expected 61.75and observed 40). As a result, the Nicotine Patch is the least effective treatment option.

We note that for the therapy Patch plus medicine, the predicted frequency of the number of successes deviates the most from the observed frequency, while the expected frequency is lower than the observed frequency (expected 62.00and observed 87). As a result, the most successful treatment is the Patch with medication.

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Most popular questions from this chapter

For these data, χ2=69.8with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

a. A Type I error is possible.

b. A Type II error is possible.

c. Both a Type I and a Type II error are possible.

d. There is no chance of making a Type I or Type II error because the P-value is approximately 0.

e. There is no chance of making a Type I or Type II error because the calculations are correct.

Where do you live? Conduct a follow-up analysis for the test in Exercise 49.

Fruit flies Biologists wish to mate pairs of fruit flies having genetic makeup RrCc, indicating that each has one dominant gene (R) and one recessive gene (r) for eye color, along with one dominant (C) and one recessive (c) gene for wing type. Each offspring will receive one gene for each of the two traits from each parent, so the biologists predict that the following phenotypes should occur in a ratio of 9:3:3:1:

Assume that the conditions for inference are met. Carry out a test at the α=0.05 significance level of the proposed genetic model.

Sorry, no chi-square How do U.S. residents who travel overseas for leisure differ from

those who travel for business? The following is the breakdown by occupation.

Occupation
Leisure travelers (%)
Business travelers (%)
Professional/technical
36
39
Manager/executive
23
48
Retired
14
3
Student
7
3
Other
20
7
Total
100
100

Explain why we can’t use a chi-square test to learn whether these two distributions differ

significantly.

Sorry, no chi-square We would prefer to learn from teachers who know their subject. Perhaps even preschool children are affected by how knowledgeable they think teachers are. Assign 48three- and four-year-olds at random to be taught the name of a new toy by either an adult who claims to know about the toy or an adult who claims not to know about it. Then ask the children to pick out a picture of the new toy from a set of pictures of other toys and say its name. The response variable is the count of right answers in four tries. Here are the data:

The researchers report that children who were taught by the teacher claiming to be knowledgeable did significantly better (χ2=20.4,P<0.05), Explain why this result isn't valid.

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