CalcOS

Hypothesis Testing Calculator

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Parameters
The sample average calculated from observed data.
105
-100,000100,000
The hypothesized population mean under the null hypothesis.
100
-100,000100,000
Standard deviation. A measure of the dispersion or spread of values.
15
0.0110,000
30
21,000,000
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P-Value
0.06789Calculated · 100%
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Test Statistic1.8257
Standard Error (SE)2.7386
H₀ Null Mean100
Result Interpretation

The hypothesis test result is 0.06789.

Mathematical Explanation
z=xˉ−μ0σnz = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}

With sample mean 105 against null μ = 100, the test statistic is 1.8257, yielding a p-value of 0.06789.

How to Use the Hypothesis Testing Calculator

Evaluate statistical significance by solving test statistics and p-values.

Input variables:
  • Sample Mean (x̄): Bounded parameter in the mathematical model.
  • Null Mean (μ₀): Bounded parameter in the mathematical model.
  • Standard Deviation (s): Bounded parameter in the mathematical model.
  • Sample Size (n): Bounded parameter in the mathematical model.
  • Alternate Hypothesis Type: Bounded parameter in the mathematical model.

Hypothesis Testing: Test Statistics and Significance P-Values

Explore one-sample z-tests and t-tests, standard error thresholds, critical boundaries, and alpha-level p-value decision criteria.

Read Full Guide →