solve_p0_score_ci: Calculate the Adjusted Proportion Estimate and Confidence Interval
Description
This function calculates the adjusted proportion estimate (p0) and the confidence interval for a given proportion estimate (p_hat) and sample size (n) using the score method.
Usage
solve_p0_score_ci(p_hat, n, z = 1.96)
Value
A list with two elements:
p0
The adjusted proportion estimate.
confidence_interval
A numeric vector of length 2 containing the lower and upper bounds of the confidence interval.
Arguments
p_hat
Numeric value. The proportion estimate. Must be between 0 and 1.
n
Numeric value. The sample size. Must be a positive integer.
z
Numeric value. The z-score for the desired confidence level. Default is 1.96 (approximately 95% confidence interval).