Suppose we are conducting a study to determine whether there is a…Suppose we are conducting a study to determine whether there is a relationship between a person’s preference for one of the four brands of soft drinks – Coke, Pepsi, 7Up, and Dr. Pepper – and whether the person prefers regular or diet drinks. A random sample of 300 people is selected, and their responses are as follows: CokePepsi7UpDr. Pepper Diet57363918150Regular63542112150 120906030300 Test whether a person’s preference for regular or diet drinks is independent of the brand preference. Use a 5% level of significance. Crosses of mice will produce either black, brown, or albino offspring. Mendel’s model predicts that the probability of a black offspring is 9/16 ; the probability of a brown offspring is 3/16 ; and the probability of an albino offspring is 4/16 . An experiment to assess the validity of Mendel’s theory produces the following data via a random sample: 35 black offspring; 20 brown offspring; and 25 albino offspring.Perform the appropriate test at a 5% level of significance.Perform the appropriate test at a 10% level of significance.Suppose the experiment is repeated, but with twice as many observations. Suppose also that we happened to get the same proportions, namely, 70 black offspring; 40 brown offspring; and 50 albino offspring. Perform the appropriate test using a = .10, a = .05 and a = .01 . MathStatistics and Probability MTH 165
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