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Question

Questions 3, 4, and 6 each use a different estimation method. For each of them, identify the conditions

that must be satisfied for us to trust the confidence intervals that we have calculated (i.e., for the intervals to be valid)?


I calculate Q3 by hand using Student's t distribution for standard error. I did Q4 using 2000 bootstrap samples and run the bootstrap code in R. I did Q6 using bbmle package in R.


Q3:

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Q4:

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Q6: 7 out of 35 birds in the control group were found to be infected with avian malaria. The point estimate is 0.2, the lower 95% confidence level is 0.133 and the upper 95% confidence interval in 0.416.

Screen Shot 2019-10-14 at 1.25.54 AM.png

PHENOTYPE SAMPLE GROUP STANDARD LOWER 95% UPPER 95%
SIZE (N) MEAN ERROR OF CONFIDENCE CONFIDENCE
PER (MEAN) MEAN (SE) LIMIT LIMIT
GROUP (LOWER) (UPPER) RESISTANT 12 0.769 0.0776 0.569 0.968
SUSCEPTIBLE 6 -1.16 0.191 -1.65 -0.672

Screen Shot 2019-10-14 at 1.25.59 AM.png

PHENOTYPE STANDARD LOWER 95% UPPER 95%
ERROR OF CONFIDENCE CONFIDENCE
MEAN (SE) LIMIT LIMIT
(LOWER) (UPPER) RESISTANT 0.0776 0.619 0.915 SUSCEPTIBLE 0.191 -1.49 -0.825

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