# Hypothesis Test Types | Teradata Vantage - Hypothesis Test Types - Analytics Database

## Database Analytic Functions

Deployment
VantageCloud
VantageCore
Edition
Enterprise
IntelliFlex
VMware
Product
Analytics Database
Release Number
17.20
Published
June 2022
Language
English (United States)
Last Update
2024-04-06
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Product Category
A hypothesis test is either:
• One-tailed or two-tailed

A one-tailed test can be either lower-tailed or upper-tailed.

• One-sample or two-sample
• Paired or unpaired
Hypothesis Test Term Definitions
Term Description
One-sample test Uses one test sample.
One-tailed test Rejection region is the lower tail or the upper tail of the sampling distribution under the null hypothesis H0.
Lower-tailed test Alternate hypothesis (H1): μ < μ0
Upper-tailed test Alternate hypothesis (H1): μ > μ0
Two-tailed test The null hypothesis assumes that μ = μ0 where μ0 is a specified value.

Two-tailed test considers both lower and upper tails of distribution of test statistic.

Alternate hypothesis (H1): μ ≠ μ0

Two-sample test Uses two test samples.
Paired test Compares study subjects at two different times.

The null and alternative hypotheses are the same as one sample test.

The paired test becomes a one-sample test because the test considers the differences between sample values before and after the subjects are exposed to treatment.

Unpaired test Compares different subjects drawn from two independent populations.

H0): μ1 = μ2

The alternate hypotheses are as follows:
• Alternate hypothesis for upper-tailed test (H1): μ 1 > μ2
• Alternate hypothesis for lower-tailed test (H1): μ 1 < μ2
• Two-tailed test μ 1 ≠ μ2