Goodness-of-Fit Test · Exercise 17

The marital status distribution of the U.S. male population, ages 15 and older, is as shown in.

$$\begin{array}{ccc}\text{Marital status}& \text{Percent}& \text{Expected frequency}\\ \text{Never married}& \text{31.3}& \\ \text{Married}& \text{56.1}& \\ \text{Widowed}& \text{2.5}& \\ \text{Divorced/Separated}& \text{10.1}& \end{array}$$
Suppose that a random sample of 400 U.S. young adult men, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population. Calculate the frequency one would expect when surveying 400 people. Fill in, rounding to two decimal places.

$$\begin{array}{cc}\text{Marital status}& \text{Frequency}\\ \text{Never married}& \text{140}\\ \text{Married}& \text{238}\\ \text{Widowed}& \text{2}\\ \text{Divorced/Separated}& \text{20}\end{array}$$

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Introductory Business Statistics 2e · §11.3 Goodness-of-Fit Test · Exercise 17