Question

A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.09, 0.27, 0.13, and 0.51, respectively, from the least to most expensive variety. A sample of 518 purchases resulted in sales of 44, 150, 83, and 241 of the respective qualities. Does this sample contradict the expected proportions? Use α = 0.05.

(a) Find the test statistic. (Round your answer to two decimal places.)


(ii) Find the p-value. (Round your answer to four decimal places.)


(b) State the appropriate conclusion.

Reject the null hypothesis. There is significant evidence of a difference from the expected proportions. Fail to reject the null hypothesis. There is significant evidence of a difference from the expected proportions.     Reject the null hypothesis. There is not significant evidence of a difference from the expected proportions. Fail to reject the null hypothesis. There is not significant evidence of a difference from the expected proportions.

Answer 1