Chi-square tests:  Goodness of Fit for the Binomial Distribution @jbstatistics
Chi-square tests:  Goodness of Fit for the Binomial Distribution  @jbstatistics
Uploaded May 2013 | Updated September 2026, 2 hours ago
I work through an example of testing the null hypothesis that the data comes from a binomial distribution. I do this for two tests, one in which the probability of success is specified in the null hypothesis, and one where it is estimated from the data.

Data reference

The Larry Bird free throw data based on information in:

Wardrop, R.L. (1995). Simpson's paradox and the hot hand in basketball. The American Statistician, 49 (1), 24-28.
Chi-square tests:  Goodness of Fit for the Binomial DistributionInference for Two Proportions:  An Example of a Confidence Interval and a Hypothesis TestAn Introduction to Continuous Probability DistributionsExpected Value and Variance of Discrete Random VariablesInference for One Proportion:  Determining the Required Sample SizeConfidence Intervals for One Mean:  Finding the Appropriate Z ValueFinding Percentiles and Areas for the F Distribution Using RP(A) = P(A and B) + P(A and Bc)Introduction to the Central Limit TheoremHypothesis Tests for One Population VariancePooled-Variance t Tests and Confidence Intervals: An ExampleIntroduction to One-Way ANOVA
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Chi-square tests: Goodness of Fit for the Binomial Distribution

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