A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.12, 0.26, 0.19, and 0.43, respectively, from the least to most expensive variety. A sample of 485 purchases resulted in sales of 44, 145, 86, and 210 of the respective qualities. Does this sample contradict the expected proportions? Use ? = 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.)

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.