Goodness-of-Fit Test · Try It 3

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.

$$\begin{array}{cc}\text{Number of Pets}& \text{Percent}\\ \text{0}& \text{18}\\ \text{1}& \text{25}\\ \text{2}& \text{30}\\ \text{3}& \text{18}\\ \text{4+}& \text{9}\end{array}$$
A random sample of 1,000 students from the eastern United States resulted in the data in.

$$\begin{array}{cc}\text{Number of Pets}& \text{Frequency}\\ \text{0}& \text{210}\\ \text{1}& \text{240}\\ \text{2}& \text{320}\\ \text{3}& \text{140}\\ \text{4+}& \text{90}\end{array}$$
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 · Try It 3