1. In 60 tosses of a coin, 37 heads and 23 tails were observed. Using significance levels of (a) 0.05 and (b) 0.01, test the hypothesis that the coin is fair. 2. Over a long period of time the grades...

1. In 60 tosses of a coin, 37 heads and 23 tails were observed. Using significance levels of (a) 0.05 and (b) 0.01, test the hypothesis that the coin is fair.

2. Over a long period of time the grades given by a group of instructors in a particular course have averaged 12% A’s,18% B’s, 40% C’s,18% D’s, and 12% F’s. A new instructor gives 22 A’s, 34 B’s, 66 C’s, 16 D’s, and 12 F’s during two semesters. Determine at the 0.05 significance level whether the new instructor is following the grade pattern set by the others.