An experiment is proposed that illustrates the interpretation of the 95% confidence interval (CI) for a proportion p, as the long-run relative frequency over many repetitions of sampling, that asserts that about 95% of the intervals will cover p. The experiment considers an actual population, obtained by Reaven and Miller [1], of 145 non-obese adults with of diabetics. By explicit computation of the 95% CI for π, from each of 50 random samples from this population, the interpretation of the 95% CI for the population proportion  is illustrated.

Bernoulli distribution, confidence interval, proportion.

Received: January 2, 2021; Accepted: January 28, 2021; Published: February 22, 2021

How to cite this article: David Sotres-Ramos, An experiment that illustrates the interpretation of the confidence interval for a proportion, Far East Journal of Mathematical Education 21(1) (2021), 23-29. DOI: 10.17654/ME021010023

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] G. M. Reaven and R. G. Miller, An attempt to define the nature of chemical diabetes using a multidimensional analysis, Diabetologia 16 (1979), 17-24.
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