If a binomial test returns a P-value greater than 0.05, we typically interpret this as meaning there is a match between the data and our expectations arising from using the binomial distribution to model the population.

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A P-value greater than 0.05 suggests that there is not enough evidence to reject the null hypothesis, indicating that the observed data is consistent with the expected distribution under the binomial model.

If a Binomial Test Returns a P-Value Greater Than 0