Binomial Test: A statistical test used to determine whether the observed proportion of successes in a binary outcome experiment differs significantly from a hypothesized proportion.
Number of Successes (k): The observed number of successes in the experiment.
Success Probability (p): The hypothesized probability of success.
Sample Size (n): The total number of trials or observations in the experiment.
Significance: The binomial test is particularly useful for small sample sizes and provides a p-value to assess the significance of the observed difference.
Example
Let's say the number of successes (k) is 30 and the success probability (p) is 0.6. Using the formula:
