Q. 41 Perform a follow-up analysis of ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 11: Q. 41 (page 726)

Perform a follow-up analysis of the test in Exercise 39 by finding the individual components of the chi-square statistic. Which cell(s) contributed most to the final result?

Short Answer

Expert verified

It is noted that the highest chi-square totals are for the Patch plus drug. This means that the treatment Patch plus drug gives the best results and thus this treatment should be used (if the side effects are not too bad).

Step by step solution

Given information

The given data is

Explanation

Observed counts

Expected count

The chi-square statistic is the sum of squared deviations (between observed and expected counts) divided by the expected count:

$蠂^{2} = \frac{(40 - 61.7514)^{2}}{61.7514} + \frac{(74 - 61.7514)^{2}}{61.7514} + \frac{(87 - 62.0045)^{2}}{62.0045} + \frac{(25 - 40.4927)^{2}}{40.4927} + \frac{(204 - 182.2486)^{2}}{182.2486} + \frac{(170 - 182.2486)^{2}}{182.2486} + \frac{(158 - 182.9955)^{2}}{182.9955} + \frac{(135 - 119.5073)^{2}}{119.5073} = 7.662 + 2.430 + 10.076 + 5.928 + 2.596 + 0.823 + 3.414 + 2.008 = 34.937$

We note that the highest chi-square totals are for the Patch plus drug. This means that the treatment Patch plus drug gives the best results and thus this treatment should be used (if the side effects are not too bad).