Question

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies:

Grade A B C D E
Frequency 18 20 28 23 11
Compute the value of the test statistics. Do the data provide enough evidence to support the professor’s claim?

Answer 1

clearly the value of the test statistics shows that there are no enough evidence to support the claim that the proportion of the grads are the same.

Explanation:

lets prove the statement by counter example, where if we have found the statement to be false for one then we conclude that it is false for all.

first lets explain what proportion is all about; proportion can be explained as the numerical relationship that compares things together.

in particular lets take grade A proportional to grade B which implies that 18:20

clearly if we observe here grade A is not same proportion with grade B. hence we conclude that there are no enough evidence to support the professor's claim.