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One Sample t-Test: Paired Samples t-Test

**One Sample t-Test**

Used when interval or ratio scaled variables are tested non-comparatively

**Hypothesis**

H0: Members of generation Y do not …….

H1: Members of generation Y do ……..

In other words:

H0: µ ≤ 3

H1: µ > 3

It is a one-tailed test

**Test Process**

Level of Significance (Critical Sig): .05

Critical t: 1.645

**Conduct One Sample t-Test using SPSS (note below about how to conduct One Sample t-Test using SPSS)**

If calculated Significance (form SPSS output) is less than critical significance (.05) null hypothesis (H0) is to be rejected and alternate hypothesis (H1) is to be accepted, otherwise null hypothesis is not rejected.

**Alternatively**, if the calculated t-value (form SPSS output) is more than critical t-value (1.645) null hypothesis (H0) is to be rejected and alternate hypothesis (H1) is to be accepted, otherwise null hypothesis is not rejected.

Note: Either of the above is ok. However, because it is one-tail test sometimes even if calculated significance is less than .05, null hypothesis may not be rejected if the corresponding calculated t is negative.

**Interpretation**

If the null hypothesis is not rejected, nothing happens. If null is rejected and alternate is accepted that is significant to answer your relevant research question.

**Conducting One Sample t-Test using SPSS**

Using SPSS for Windows, click:

**Analyze>Compare Means>One-Sample T Test**

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