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Chapter 11: Q. 35 (page 725)

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.

Short Answer

Expert verified

We can’t use a chi-square test to learn whether these two distributions differ significantly because proportions are known instead of actual counts.

Step by step solution

01

Given information

The given data is

02

Explanation

To use the chi-square test, we need to know the actual counts. However, in the table, we note that only the proportions have been given and thus we cannot apply the chi-square test.

Proportions are known instead of actual counts.

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Most popular questions from this chapter

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown

State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&M’S

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?

Use FacebookMain CampusCommon wealthSeveral times a month or less5576At least once a week215157At least once a day640394Total Facebook users910627

Use Table C to find the p-value. Then use your calculator’sχ2cdf command.

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.

Representative sample? For a class project, a group of statistics students is required to take an SRS of students from their large high school to take part in a survey. The students’ sample consists of 54freshmen, 66sophomores, 56juniors, and 30seniors. The school roster shows that 29%of the students enrolled at the school are freshmen, 27%are sophomores, 25% are juniors, and 19% are seniors.

(a) Construct a well-labeled bar graph that shows the distribution of grade levels (in percents) for the sample data. Do these data give you any reason to suspect that the statistics students’ sample is unusual? Explain. (b) Use an appropriate test to determine whether the sample data differ significantly from the actual distribution of students by grade level at the school.
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