Statistics > Hypothesis Tests > 1-Population Proportion

This utility performs calculations for testing claims about a population proportion. A normal distribution is used to approximate the binomial distribution. The null hypothesis of a claim about a population proportion p is p = p0. The alternative hypothesis can be one of the following: p < p0, p > p0, or p ≠ p0.

The test statistic is computed using the following formula:

where is the sample proportion, p is the hypothesized population proportion, and n is the sample size.

To use the utility, follow these steps:

Sample Outputs

The null hypothesis and the alternative hypothesis are displayed. The results, along with the input parameters, are displayed in a table.
[N = sample size; Sample Proportion = calculated from the individual samples or provided directly by the user; Significance Level = 1 - confidence level; Critical Value = critical value corresponding to the significance level; Test Statistic = test statistic corresponding to the hypothesized proportion; p-Value = p-Value corresponding to the test statistic]



Hypothesis Test - One population proportion: confidence level = 0.95
Input: Summary data
Null hypothesis: p = 0.1
Alternative hypothesis: p > 0.1

N Sample Proportion Significance Level Critical Value Test Statistic p-Value
100 0.200 0.05 1.645 3.333 0.0004