Critical Value Calculator

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The sampling distribution of your test statistic.
The probability of a Type I error (false positive). Common choices: 0.10, 0.05, 0.01.
Two-tailed tests split alpha between both ends; one-tailed tests place all alpha in one tail.
df = n - 1 for a one-sample t-test; number of categories minus 1 for chi-square goodness-of-fit. Not used for Z.
Critical valueCritical value found
2.2281

The threshold beyond which you reject H0

Lower critical value-2.2281
Rejection region(-∞, -2.2281] ∪ [2.2281, +∞)
2.22811.3% above · Test statistic

t-Student critical value: 2.2281

  • For a two-tailed test at alpha = 0.05, reject H0 if your test statistic is below -2.2281 or above 2.2281.
  • With 10 degrees of freedom, the t-distribution has heavier tails than the standard normal. As df increases, the critical value approaches the Z critical value.
  • The rejection region is (-∞, -2.2281] ∪ [2.2281, +∞). Any test statistic landing there leads to rejecting the null hypothesis.

Next stepCompare your computed test statistic to this critical value. If the statistic falls in the rejection region, you have sufficient evidence to reject H0 at the chosen alpha level.

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