Sun Basket Post #5: Bayesian Analysis

The percentage of women who could be selected is 60%. The likelihood that a person would enter the contest after being shown a Facebook ad is estimated to be 16%. First, we start with the probability of a woman being selected, which is the same as the base rate, 60%. The probability of it being a man is 1-60%=40%. Tables 1 and 2 show the calculations that reveal the likelihood that a woman shown the ad would enter the contest versus a man.

 Woman entered contestMan entered contest
Woman target9.60%50.40%
Man target33.60%6.40%
Probability of man entering contestProbability of woman entering contest
11%22%

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