You want to describe the number of consumers in a fixed population who prefer Brand X. You are dealing with a total population of 40 consumers, of which 30 prefer Brand X and 10 prefer Brand Y. You survey 20 of those consumers.
If you have a probability from a different-sized sample instead of a success rate, you can estimate initial success by multiplying the population size by the probability of success. In this example, the probability of success is 75% (.75 x 40 = 30 and 30/40 = .75). |
The parameters for this example are a population size of 40, sample size (Trials) of 20, and initial Success of 30 (30 of 40 consumers will prefer Brand X), shown in Figure 86, Hypergeometric Distribution (the probability that x number of consumers prefer Brand X).
