A math teacher compared two methods for teaching division to his students. She randomly assigned 60 students into two equal-sized groups. Group 1 was taught with Method A using an innovative and technology-based method, and Group 2 with Method B using traditional textbook oriented methods. A comparison of post-test scores indicated that the results were significantly different (p =.03) in favor of Method A. When the teacher examines the mean scores of the two groups, the difference was 5.5 points on a 100-point scale and the pooled standard deviation is SD=10.

Using p=.03, the math teacher also could correctly judge that

A she made type I error with very high probability in drawing the conclusion so that she would not be very confident on the conclusion.

B she made type II error with small probability in drawing the conclusion so that she would be very confident on the conclusion.

C she made type II error with very high probability in drawing the conclusion so that she would not be very confident on the conclusion.

D she made type I error with very small probability in drawing the conclusion so that she would be very confident on the conclusion.