4.Live trapping of wildlife poses several challenges for researchers because traps are novel to the natural environment. Most animals show neophobic, or trap-shy, behaviors in most cases among females of the species. A study on the dietary behavior of Mule deer indicated that the ratio of male deer attracted to a trap to a female deer is 3:1. If 5 deer were caught randomly, determine the probability of all possible outcomes. Include 3 significant digits in your answers. (5 marks)

5. For study described above in Question 4, you conduct a larger experiment where 16 mule deer were trapped randomly. Out of these 16 deer, 15 are male and 1 is female.

1. Conduct a formal hypothesis test for this sample size. Are your results consistent with the predicted 3:1 ratio? (6 marks)
2. Estimate the standard error of the proportion of male mule deer. (2 marks)

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