A coffee roaster sells bags of coffee. They claim they sell 20% light roast (L), 25% medium roast (M), and 55% dark roast (D) bags of coffee. To test their claim, a researcher randomly selected 65...

A coffee roaster sells bags of coffee. They claim they sell 20% light roast (L), 25% medium roast (M), and 55% dark roast (D) bags of coffee. To test their claim, a researcher randomly selected 65 bags of coffee that were sold by the roaster. The observed counts are shown below.

        L         M       D

oi:    7     19      39

ei :

We wish to test H0 : the roasters claim is correct versus Ha : the roasters claim is not correct at the α = 0.01

significance level. Which of the following is/are true?

(A) The test statistic equals 3.53
(B) The critical value equals 6.63
(C) The p−value for this test is ∈ (0.15, 0.20)
(D) We have evidence that the roasters claim is correct