Question 24.3

24.3 Video-gaming and grades. The popularity of computer, video, online, and virtual reality games has raised concerns about their ability to negatively impact youth. Based on a recent survey, 1808 students aged 14 to 18 in Connecticut high schools were classified by their average grades and by whether they had or had not played such games. The following table summarizes the findings. The observed and expected counts are given side by side.

581

ObservedExpected
A’s and B’sC’sD’s and F’sA’s and B’sC’sD’s and F’s
Played games736450193717.7453.1208.2
Never played games20514480223.3140.964.8

From these counts, we find that the chi-square statistic is 6.74. Does the study show that there is a statistically significant relationship between playing games and average grades? Use a significance level of 0.05.