Statistics Hypothesis Testing Calculator
This calculator helps researchers and students perform statistical hypothesis testing using Z-test. It determines if there's significant evidence to reject the null hypothesis by calculating z-score, comparing it with critical values, and providing conclusion based on the selected significance level.
Test Results:
Z-Score | Critical Value | Conclusion |
---|---|---|
Formula
Z = (x̄ - μ) / (σ/√n)
Where:
x̄ = Sample Mean
μ = Population Mean
σ = Standard Deviation
n = Sample Size
How to Use
1. Enter sample mean and population mean
2. Input standard deviation and sample size
3. Select significance level (default 0.05)
4. Click Calculate to get z-score and conclusion
5. Compare results with critical values to accept/reject null hypothesis
Development Process
1. Designed UI layout with input fields
2. Implemented Z-score formula in JavaScript
3. Added critical value lookup for α levels
4. Created result interpretation logic
5. Tested with sample datasets
6. Added responsive design and validation
FAQs
What is a hypothesis testing calculator?
A statistical tool that automates hypothesis testing calculations, determining if sample data provides sufficient evidence to reject the null hypothesis. It calculates test statistics, compares them with critical values, and interprets results using pre-defined significance levels.
Which hypothesis test does this calculator perform?
This calculator performs a Z-test for hypothesis testing, appropriate for large sample sizes (n > 30) with known population standard deviation. It's used for testing means when data follows normal distribution.
How accurate are the results?
Results are accurate when input data meets test assumptions. Ensure normal distribution, random sampling, and known population parameters. The calculator uses precise z-score calculations and standard critical values.
Can I use this for small samples?
Not recommended. For small samples (n < 30), use t-test instead. This calculator uses z-distribution which assumes large sample sizes. Small samples may require different statistical treatment.
What do the results mean?
The z-score measures standard deviations between sample mean and population mean. If absolute z-score exceeds critical value, reject null hypothesis. Conclusion column shows "Reject H0" or "Fail to reject H0" based on comparison.