A school administrator believes that larger class sizes lead to more discipline problems. Four class sizes (small, medium, large, and gigantic) are tested. The following table summarizes the problems...

A school administrator believes that larger class sizes lead to more discipline problems. Four class sizes (small, medium, large, and gigantic) are tested. The following table summarizes the problems recorded for each of the class sizes. Treating class size as an ordinal variable, test if there is a linear increase in the proportion of class problems. (Be careful to arrange the order of the class size columns so that they range from small to gigantic, or your test for trend will not be valid.)