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As part of a larger study of population genetics, the importance of coloration in peppered moths...

As part of a larger study of population genetics, the importance of coloration in peppered moths was studied. Moths of two different color patterns (one light and one dark) were placed on an intermediate background. Hungry starlings were then given 10 minutes to eat their fill. The results of the preliminary experiment are as follows. Of 46 light colored moths, 32 were not eaten. Of 34 dark colored moths, 12 were not eaten. Perform a hypothesis test to determine if there is a difference in survival rate between the light and dark moths by completing the following steps:

  1. State the appropriate alternative hypothesis for this test
  2. Compute the appropriate test statistic
  3. State the critical value(s)
  4. State your decision to reject or not reject
  5. State your conclusion
  6. Compute the p-value for this test.

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