If the 95% confidence interval for the proportion does not include the value hypothesized in the binomial test, then the test will almost certainly return a P-value greater than 0.05.

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If the 95% confidence interval for the proportion does not include the value hypothesized in the binomial test, it suggests that the observed data significantly differ from what was hypothesized, leading to a P-value less than 0.05, indicating statistical significance.

If the 95% Confidence Interval for the Proportion Does Not