Back to 11.2 Goodness-of-Fit Test

11.2 Exercise 28

Avg difficulty 2.5

For each problem, use a solution sheet to solve the hypothesis test problem. Go to the reference 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 the table.

Marital Status % Expected Frequency
Never Married 31.3%
Married 56.1%
Widowed 2.5%
Divorced/Separated 10.1%

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 the table, rounding to two decimal places.

Marital Status Frequency
Never Married 140
Married 238
Widowed 2
Divorced/Separated 20

OpenStax Statistics, 11.2 Goodness-of-Fit Test, exercise 28

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