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Hypothesis Testing - Statistical Tests of Means, Variances, Correlations, and Differences - Introduction

[Home] [Mean (var. known)] [Variance] [Mean (var. unknown)] [Pop. Proportion]

Testing of Statistical Hypothesis - Introduction

This section covers formulae of all kinds of widely used hypothesis tests. Various free online calculators will be made available for hypothesis testing purposes.

In general, hypothesis testing involves the following steps:

  • specify the Null Hypothesis (H0). For example H0: Mean = 0
  • specify the Alternative Hypothesis (HA). For example HA: Mean <> 0
  • compute the (appropriate) test statistic based on the sample data. The sampling distribution (if the Null Hypothesis is true) is assumed to be known.
  • compute the Acceptance Region (Confidence Interval) or Rejection Region based upon the sampling distribution.
  • Accept or Reject the Null Hypothesis H0

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Mean (var. known)
Mean (var. unknown)
Pop. Proportion
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