Question

The chairwoman of the Judicial Affairs Committee claims that reported Honor Code violations
are equally likely to concern freshmen, sophomores, juniors and seniors. To check that claim, 100
cases are selected at random. 19 involved freshmen, 37 involved sophomores, 23 involved juniors,
and 20 involved seniors. Perform an appropriate test to check the claim of the chairwoman.

Answer 1

The null and alternate hypothesis are:

H0: Outcomes are equally likely.

Ha: Outcomes aren't equally likely.

	Observed (O)	Expected (E)
Freshmen	19	100/4=25	1.44
Sophomores	37	100/4=25	5.76
Juniors	23	100/4=25	0.16
Seniors	20	100/4=25	1.00
TOTAL	100	100	8.36

Test statistic value =

The p-value is given by:

Let the level of significance be 5%.

Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis H0.

Thus we can say that outcomes aren't equally likely.