Section 10.5

Putting It Together: Which Method Do I Use?

A decision framework to choose the correct hypothesis test based on the parameter of interest.

1

Step 1: Identify the Parameter

The first step is always to identify what parameter is being tested:

Proportion

Categorical data, success/failure outcomes

Z-test

Mean

Quantitative data, averages

t-test

Standard Deviation

Variability, spread of data

χ²-test
p

Proportion Test Summary

Requirements

Test Statistic

μ

Mean Test Summary

Requirements

Normal population OR
No outliers

Test Statistic

df = n - 1

σ

Standard Deviation Test Summary

Requirements

Strict normality required
Random sample

Test Statistic

df = n - 1

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