Goodness-of-Fit Test · Exercise 19

For each problem, use a solution sheet to solve the hypothesis test problem. Go to for the chi-square solution sheet. Round expected frequency to two decimal places.

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

\begin{array}{|c|c|c|}\hline \text{Marital Status} & \text{%} & \text{Expected Frequency} \\ \hline \text{Never Married} & \text{31.3%} & \\ \hline \text{Married} & \text{56.1%} & \\ \hline \text{Widowed} & \text{2.5%} & \\ \hline \text{Divorced/Separated} & \text{10.1%} & \\ \hline\end{array}
Suppose that a random sample of 400 U.S. males, 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, Statistics · §11.2 Goodness-of-Fit Test · Exercise 19