Comparing Two Independent Population Proportions · Example 2

A research study was conducted about gender differences regarding the use of seat belts in motor vehicles. The researcher believed that the proportion of women not wearing seat belts is less than the proportion of men not wearing seat belts. The data collected represents a random sample of U.S. adults and is summarized in. Is the proportion of women not wearing seat belts less than the proportion of men not wearing seat belts? Test at a 1% level of significance.

$$\begin{array}{ccc}& \text{Men}& \text{Women}\\ \text{Does not wear seat belts}& \text{183}& \text{156}\\ \text{Total number surveyed}& \text{2231}& \text{2169}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §10.3 Comparing Two Independent Population Proportions · Example 2