What the test checks
The binomial test asks whether the observed success count is plausible if the true population proportion were .
It is most useful for yes-or-no outcomes such as pass/fail, correct/incorrect, or click/no click.
Reading the p-value
- A small p-value means the observed count would be unusual under the hypothesized proportion.
- A large p-value means the sample is still compatible with that claim.
- The exact test avoids the normal approximation when the sample is modest.
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