T-Statistic Calculator: t-Value, p-Value and Critical Value

Your details

One-sample: compare a sample mean to a fixed reference. Two-sample: compare two independent groups. Paired: compare before-and-after measurements on the same subjects.
The arithmetic mean of your sample.
The known or hypothesised population mean you are testing against.
The sample standard deviation (use n-1 in the denominator).
Number of observations in the sample.
Two-tailed tests for any difference; right-tailed for a positive effect; left-tailed for a negative effect.
Probability threshold below which the null hypothesis is rejected.
t-statisticMarginal (p < 0.10)
2

Distance of the sample result from the null hypothesis, in standard-error units

Degrees of freedom24
p-value0.0569
Critical t-value2.0639
Standard error (SE)1
DecisionFail to reject H₀ (p ≥ α)
22.3% above · t-statistic

Result is not statistically significant at α = 0.05 (p = 0.0569)

  • Your sample mean (52) differs from the hypothesised population mean (50) by 2.00 units.
  • The two-tailed p-value is 0.0569, compared with your α = 0.05.
  • With 24.00 degrees of freedom, the critical t-value (|±t | boundary) is 2.0639.
  • Because p ≥ α, the data do not provide statistically significant evidence to reject the null hypothesis at this level.

Next stepA non-significant result means the data are consistent with the null hypothesis, not that the null is proven true. Consider whether the sample was large enough to detect a meaningful effect (check statistical power).

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