Inferential Statistics Calculator

Statistical Test Selection

Select Test Type:

Z-Test Confidence Interval

Interactive Learning Panel

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Understanding Hypothesis Testing

State the Hypotheses

Every hypothesis test begins with two competing statements:

Null Hypothesis (H₀): The status quo or no effect statement
Alternative Hypothesis (H₁): What we're trying to show evidence for

Select Null Hypothesis Type:

Set Significance Level (α)

The significance level determines how strong evidence must be to reject H₀:

Test Statistic & p-value

The test statistic measures how far your sample is from what's expected under H₀. The p-value is the probability of getting a result at least as extreme as yours if H₀ is true.

Key Insight: The smaller the p-value, the stronger the evidence against H₀.

Make a Decision

Compare p-value to significance level (α):

If p-value ≤ α: Reject H₀
If p-value > α: Fail to reject H₀

Learning Resources

Hypothesis Testing Simulation

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This interactive simulation will help you understand the decisions in hypothesis testing.

Hypothesized Mean (μ₀):

Your Sample Mean (x̄):

Standard Deviation (σ):

Sample Size (n):

One-Sample Hypothesis Test

Null Hypothesis Mean (μ₀)

Sample Mean (x̄)

Standard Deviation Type

Known Population σ

Sample s

Standard Deviation (σ or s)

Sample Size (n)

Alternative Hypothesis

Significance Level (α)

Two-Sample Hypothesis Test

First Sample (Group 1)

Mean (x̄₁)

Standard Deviation (s₁)

Sample Size (n₁)

Second Sample (Group 2)

Mean (x̄₂)

Standard Deviation (s₂)

Sample Size (n₂)