binomial_p_one_sample {LRTesteR}

Test the p parameter of a binomial distribution.

Description

Test the p parameter of a binomial distribution.

Usage

binomial_p_one_sample(x, n, p, alternative = "two.sided", conf.level = 0.95)

Arguments

x

Number of successes.

n

Number of trials.

p

Hypothesized probability of success.

alternative

a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less".

conf.level

confidence level of the likelihood interval.

Value

An S3 class containing the test statistic, p value, likelihood based confidence interval, and alternative hypothesis.

Source

• https://en.wikipedia.org/wiki/Likelihood-ratio_test

• Yudi Pawitan. In All Likelihood. Oxford University Press.

• Hodd, McKean, and Craig. Introduction to Mathematical Statistics. Pearson.

Examples

library(LRTesteR)

# Null is true. 52 successes. 100 trials
binomial_p_one_sample(52, 100, .50, "two.sided")

# Null is false. 75 successes. 100 trials
binomial_p_one_sample(75, 100, .50, "two.sided")