Appendix A.32

Proportion Hypothesis Test

Perform hypothesis tests for a single population proportion.

Hypothesis Test Calculator for Population Proportion

Perform Z-tests to make decisions about population proportions

Hypotheses

Null:
Alternative:

Requirements Met

Calculations

Sample Proportion
Standard Error
Test Statistic

Rejection Region Visualization

-1.961.960z₀ = 2.08Reject H₀Reject H₀Fail to Reject H₀

Classical Approach

Critical Region: z < -1.960 or z > 1.960
z₀ = 2.0755 is in rejection region

P-Value Approach

P-value = 0.0379
P-value < α = 0.05

Reject H₀

At the α = 0.05 significance level, there is sufficient evidence to conclude that the population proportion differs from 0.35.