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Chapter 11: Q. 59 (page 758)

When analyzing survey results from a two-way table, the main distinction between a test for independence and a test for homogeneity is

a. how the degrees of freedom are calculated.

b. how the expected counts are calculated.

c. the number of samples obtained.

d. the number of rows in the two-way table.

e. the number of columns in the two-way table.

Short Answer

Expert verified

Option C) is correct that is the number of samples obtained.

Step by step solution

01

Given Information

We have to identify correct answer when analyzing survey results from a two way table, the main distinction between a test for independence and a test for homogeneity

02

Simplification

The sole difference between homogeneity and independence tests is the number of samples obtained.

Thus, Option C) is correct.

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Most popular questions from this chapter

Video games (1.1) To determine if there is a relationship between age and playing video games, the Pew Research Center asked randomly selected adults for their age and if they 鈥渆ver play video games on a computer, TV, game console, or portable device like a cell phone.鈥�3 Here is a two-way table summarizing the results of the study:

a. Construct a segmented bar graph to display the relationship between age group and response to the question about video games.

b. Describe the association shown in the segmented bar graph in part (a).

Which of the following is the correct number of degrees of freedom for the chi-square test using these data?

a.4

b.8

c. 10

d.20

e.4876

Inference recap (8.1to 11.2) In each of the following settings, state which inference procedure from Chapter 8,9,10,or11you would use. Be specific. For example, you might answer, 鈥淭wo-sample z test for the difference between two proportions.鈥� You do not have to carry out any procedures.

a. Is there a relationship between attendance at religious services and alcohol consumption? A random sample of 1000adults was asked whether they regularly attend religious services and whether they drink alcohol daily.

b. Separate random samples of 75 college students and 75 high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.

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鈥檛 use a chi-square test to learn whether these two distributions differ

significantly.

Seagulls by the seashore Do seagulls show a preference for where they land? To answer this question, biologists conducted a study in an enclosed outdoor space with a piece of shore whose area was made up of 56% sand, 29% mud, and 15% rocks. The biologists chose 200 seagulls at random. Each seagull was released into the outdoor space on its own and observed until it landed somewhere on the piece of shore. In all, 128 seagulls landed on the sand, 61 landed in the mud, and 11 landed on the rocks.

a. Do these data provide convincing evidence that seagulls show a preference for where they land?

b. Relative to the proportion of each ground type on the shore, which type of ground do the seagulls seem to prefer the most? The least?
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