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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

01

Given information

The given data is

02

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:

χ2=(40-61.7514)261.7514+(74-61.7514)261.7514+(87-62.0045)262.0045+(25-40.4927)240.4927+(204-182.2486)2182.2486+(170-182.2486)2182.2486+(158-182.9955)2182.9955+(135-119.5073)2119.5073=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).

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Most popular questions from this chapter

Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below.

(a) Explain why it is acceptable to use two-sample t procedures in this setting.

(b) Construct and interpret a 95% confidence interval for the difference in the mean English grade for light and heavy readers.

(c) Does the interval in part (b) provide convincing evidence that reading more causes an increase in students’ English grades? Justify your answer.

The expected count of females who respond “almost certain” is

(a) 464.6.

(b) 891.2.

(c) 1038.8.

(d) 1174.

(e) None of these.

The category that contributes the largest component to theχ2statistic is

(a) White.

(c) Hispanic.

(b) Black.

(d) Other.

(e) The answer cannot be determined since this is only a sample.

How do U.S. residents who travel overseas for leisure differ from those who travel for business? The following is the breakdown by occupation:

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

Assuming H0is true, the expected number of Hispanic drivers who would receive a ticket is

(a) 8

(c) 11.

(e) 12.

(b) 10.36

(d) 11.84
See all solutions

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