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Section 3.7 Summary of Exact Binomial Inference
Summary of Exact Binomial Inference (Sampling from a Binomial Process). Let
\(X\) represent the number of successes in the sample and
\(\pi\) the probability of success for a binomial random process.
To test \(H_0\!:\pi = \pi_0\)
We can calculate a p-value based on the binomial distribution with parameters
\(n\) and
\(\pi_0\text{.}\) The p-value can be one-sided or two-sided based on the statement of the research conjecture.
(100 × C)% Confidence Interval for \(\pi\)
The set of values such that the two-sided p-value based on the observed count is larger than the
\((1 - C)\) cut-off.
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