Back to 11.3 Goodness-of-Fit Test

11.3 Exercise 7

Avg difficulty 2.5

The expected percentage of the number of pets students have in their homes is distributed (this is the given distribution for the student population of the United States) as in the table.

Number of pets Percent
0 18
1 25
2 30
3 18
4+ 9

A random sample of 1,000 students from the Eastern United States resulted in the data in the table.

Number of pets Frequency
0 210
1 240
2 320
3 140
4+ 90

At the 1% significance level, does it appear that the distribution “number of pets” of students in the Eastern United States is different from the distribution for the United States student population as a whole?

OpenStax Introductory Business Statistics 2e, 11.3 Goodness-of-Fit Test, exercise 7

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.