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# Pr4 - Practice Problems for 5.7 1 Crosses of mice will...

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Practice Problems for 5.7 1. 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: 35 black offspring; 20 brown offspring; and 25 albino offspring. Perform a goodness of fit test in this setting. a) State H 0 and H 1 . b) Find the expected frequencies under H 0 . c) Calculate the values of the Q test statistic. d) Find the critical value 2 α χ at α = 0.05. e) State your decision ( Accept H 0 or Reject H 0 ) at α = 0.05. f) Find the critical value 2 α χ at α = 0.10. g) State your decision ( Accept H 0 or Reject H 0 ) at α = 0.10. 2. Suppose the experiment in Problem #1 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.

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