A state’s Department of Education “grades” every school every year on a scale of A to F. In County #1, 21 of the 95 schools improved their grade this year compared to last year. In County #2, 27 of 89...

A state’s Department of Education “grades” every school every year on a scale of A to F. In County #1, 21 of the 95 schools improved their grade this year compared to last year. In County #2, 27 of 89 schools improved their grade. Is it possible that the apparent difference between the two counties is attributable to random chance? Use α = 5%.