Question

A survey asked 518 users of a website about changes in the amount of time spent using the website over the past year. Here is the two-way table classifying the website users by gender and whether or not they increased the amount of time that they spent on the website during the past year.

increased women men total

yes 48 19 67

no 242 209 451

total 290 228 518

We use the term r ✕ c table to describe a two-way table of counts with r rows and c columns. The two categorical variables in the 2 ✕ 2 table of this problem are "Increased" and "Gender." "Increased" is the row variable, with values "Yes" and "No," and "Gender" is the column variable, with values "Men" and "Women." Since the objective in this example is to compare the genders, we view "Gender" as an explanatory variable, and therefore, we make it the column variable. Find the chi-square test statistic.

Answer 1

The Chi-Squared statistic is computed as follows:

Consider the following table: