Researchers at a science corporation and a university collaborated on a study of how air traffic controllers respond to false alarms. The researchers theorize that the high rate of false alarms regarding mid$-$air collisions leads to the "cry wolf" effect $($the tendency for air traffic controllers to ignore true alerts in the future.$)$ The investigation examined data on a random sample of $442$ conflict alerts. Each alert was first classified as a "true" or "false" alert. Then, each was classified according to whether or not there was a human controller response to the alert. A summary of the responses is provided in the accompanying table. Do the data indicate that the response rate of air traffic controllers to mid$-$air collision alarms differs for true and false alerts? Test using $=0\mathrm{.}01.$ What inference can you make concerning the "cry wolf" effect?