Each of the following four distributions was created using a different dataset. Each: dataset had the...

 

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Each of the following four distributions was created using a different dataset. Each: dataset had the same proportion of successes (p=0.4) but a different sample size. The four datasets were given by n = 10, 100, 500, and 1000. A B C count count 200 100 n = 10 60 40 20 0 illu 0 0.00 0.25 0.50 0.75 Bootstrapped proportion n = 500 a 0.36 0.40 0.44 Bootstrapped proportion D count count 75 50 25 0 75 50 25 0 n = 100 0.4 0.3 0.5 Bootstrapped proportion 2 n = 1000 0.6 0.36 0.38 0.40 0.42 0.44 0.46 Bootstrapped proportion Consider each of the following values for the true popluation p (proportion of success). Datasets A, B, C, D were bootstrapped 1000 times, with bootstrap proportions as given in the histograms provided. For each parameter value, list the datasets which could plausibly have come from that population. (Hint: there may be more than one dataset for each parameter value.) Each of the following four distributions was created using a different dataset. Each: dataset had the same proportion of successes (p=0.4) but a different sample size. The four datasets were given by n = 10, 100, 500, and 1000. A B C count count 200 100 n = 10 60 40 20 0 illu 0 0.00 0.25 0.50 0.75 Bootstrapped proportion n = 500 a 0.36 0.40 0.44 Bootstrapped proportion D count count 75 50 25 0 75 50 25 0 n = 100 0.4 0.3 0.5 Bootstrapped proportion 2 n = 1000 0.6 0.36 0.38 0.40 0.42 0.44 0.46 Bootstrapped proportion Consider each of the following values for the true popluation p (proportion of success). Datasets A, B, C, D were bootstrapped 1000 times, with bootstrap proportions as given in the histograms provided. For each parameter value, list the datasets which could plausibly have come from that population. (Hint: there may be more than one dataset for each parameter value.)

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