Hypothesis Test Calculator
A hypothesis test calculator helps determine if there's enough statistical evidence to reject a null hypothesis. It calculates test statistics and p-values for z-tests and t-tests, enabling researchers and students to make data-driven decisions. This tool simplifies complex statistical calculations, ensures accuracy, and saves time in analyzing experimental results and survey data.
Calculator
Formula
Z-test formula: Z = (X̄ - μ) / (σ/√n)
T-test formula: t = (X̄ - μ) / (s/√n)
Where X̄ = sample mean, μ = population mean, σ = population SD, s = sample SD, n = sample size
How to Use
1. Enter sample mean, population mean, standard deviation, and sample size
2. Select test type (Z-test or T-test)
3. Click Calculate to get test statistic and p-value
4. Compare p-value with significance level (α) to reject/fail to reject null hypothesis
Development Process
1. Designed user interface with HTML/CSS
2. Implemented statistical formulas in JavaScript
3. Added input validation and error handling
4. Tested with various scenarios
5. Optimized for mobile responsiveness
6. Added documentation and FAQs
FAQs
What is a hypothesis test?
A hypothesis test is a statistical method used to make decisions about population parameters using sample data. It compares two competing hypotheses - null hypothesis (H₀) and alternative hypothesis (H₁) - through calculated test statistics and p-values.
When to use Z-test vs T-test?
Use Z-test when population standard deviation is known and sample size > 30. Use T-test when population SD is unknown and sample size < 30. T-test is more appropriate for small samples and provides more conservative results.