Chicken, hot dogs, and hamburgers were served during a recent barbecue. The host assur there would be no difference between what the women chose to eat and what the men cho eat. Compute the test value for the following data.
$\begin{array} { l c c c } & \text { Chicken } & \text { Hot Dogs } & \text { Hamburgers } \ \text { Women } & 7 & 3 & 4 \ \text { Men } & 4 & 5 & 6 \end{array}$

Question

Quizplus · Accepted Answer

The correct test value is calculated using the Chi-square test formula for independence. The Chi-square statistic ($\chi^2$) is calculated as $\chi^2 = \sum \frac{(O - E)^2}{E}$, where $O$ represents the observed frequencies (the numbers given in the table), and $E$ represents the expected frequencies (calculated based on the assumption that men and women have the same preferences). After calculating the expected frequencies for each category and applying the formula, the test value closest to the options given is 1.686.

Chicken, Hot Dogs, and Hamburgers Were Served During a Recent