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 population of U.S. men, ages 15 and older, is as shown in the table.

Marital Status Percent 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. young adults, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group 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 Introductory Statistics 2e, 11.2 Goodness-of-Fit Test, exercise 28

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.