Back to 11.2 Goodness-of-Fit Test

11.2 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 percent 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? What is the p-value?

OpenStax Statistics, 11.2 Goodness-of-Fit Test, exercise 7

AI Tutor

Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.