The Advanced Placement (AP) statistics examination was first administered in May 1997. Students papers are graded on a scale of 1 to 5, with five being the highest score. Over 7600 students took the exam in the first year, and the distribution of scores was as follows (not including exams that were scored late): Score 5 4 3 2 1
Percent 15.3 22.0 24.8 19.8 18.1

A distance learning class that took AP Statistics via satellite television had the following distribution of grades:

Score 5 4 3 2 1
Frequency 7 13 7 6 2

Requried:
a. Calculate marginal percentages and make a bar graph of the population scores and the sample scores on the same grid, so that the two distributions can be compared visually.
b. Carry out an appropriate test to determine if the distribution of scores for students enrolled in the distancelearning program is significantly different from the distribution of scores for all students who took the inaugural exam.