Statistics for Non-Statisticians by Birger Stjernholm Madsen

Author:Birger Stjernholm Madsen
Language: eng
Format: epub, pdf
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

5.4 Statistical Uncertainty in Sample Surveys

We have now studied the main characteristics of the binomial distribution . In this and the next section, we study the most important applications in sample surveys.

Let us imagine that we want to find an estimate of the relative frequency (*) of a particular activity among the kids in the Fitness Club survey. For instance, we want to find out which proportion of the kids is doing strength training. We can get this information through a sample survey. There will be some statistical uncertainty (*) connected with our estimate, and we also want to estimate this statistical uncertainty.

The population consists of kids in the Fitness Club. The relative frequency in the population corresponds to the probability p that a randomly selected kid does strength training.

The number of kids in the sample, who do strength training, can be described by a binomial distribution with n = sample size

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