Comparing Two Independent Population Proportions · Example 2

A research study was conducted about gender differences in texting. The researcher believed that the proportion of girls involved in texting is less than the proportion of boys involved. The data collected in spring 2010 among a random sample of middle and high school students in a large school district in the southern United States is summarized in. Is the proportion of girls sending texts less than the proportion of boys texting? Test at a 1 percent level of significance.

$$\begin{array}{ccc}& \text{Males}& \text{Females}\\ \text{Sent texts}& \text{183}& \text{156}\\ \text{Total number surveyed}& \text{2231}& \text{2169}\end{array}$$

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

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