How To Calculate Test Statistic?

State the null hypothesis and alternative hypothesis

Choose the appropriate test type

Identify the sample statistic

Identify the hypothesized population parameter

Compute the standard error

Use the test statistic formula for the chosen test

For a z-test: z = (sample statistic – hypothesized parameter) / standard error

For a t-test: t = (sample statistic – hypothesized parameter) / standard error

For a chi-square test: χ² = Σ (observed – expected)² / expected

For an F-test: F = variance 1 / variance 2

Substitute the values into the formula

Calculate the result

Compare the test statistic to the critical value or use the p-value

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