Null hypothesis for a single-sample t-test
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The document discusses the null hypothesis for a single-sample t-test. The null hypothesis states that there is no statistically significant difference between the sample and the population from which it was drawn. Researchers conducting a single-sample t-test hope to fail to reject the null hypothesis, meaning the sample is representative of the larger population and results from experiments on the sample could generalize to the population. An example is given of a null hypothesis for a single-sample t-test comparing ACT scores of 30 local teenagers to the overall population of ACT scores.
Null hypothesis for a single-sample t-test
- 1. Null-hypothesis for a Single- Sample t-test Conceptual Explanation
- 2. With hypothesis testing we are setting up a null-hypothesis
- 3. With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship –
- 4. With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis.
- 5. With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis. As you may recall, a single-sample t-test attempts to determine if a single sample is statistically significantly different from the population. The hope by researchers is that they will be similar so as to run experiments on the single sample that could be generalized to the population.
- 6. Example #1
- 7. Let’s say we collect a sample of 30 teenage ACT scores in our community and want to know if their ACT scores are statistically significantly different than the larger population of ACT scores.
- 8. Let’s say we collect a sample of 30 teenage ACT scores in our community and want to know if their ACT scores are statistically significantly different than the larger population of ACT scores. Here’s the null hypothesis:
- 9. Let’s say we collect a sample of 30 teenage ACT scores in our community and want to know if their ACT scores are statistically significantly different than the larger population of ACT scores. HeTreh’esr teh ies hnyop sottahtiesstiisc:ally significant difference in ACT scores between a local sample of 30 teenagers and the larger population.
- 10. Let’s say we collect a sample of 30 teenage ACT scores in our community and want to know if their ACT scores are statistically significantly different than the larger population of ACT scores. HeTreh’esr teh ies hnyop sottahtiesstiisc:ally significant difference in ACT scores between a local sample of 30 teenagers and the larger population. Note – that the single-sample t-test is one of the few methods where the researchers are hoping the null-hypothesis is accepted or retained
- 11. Let’s say we collect a sample of 30 teenage ACT scores in our community and want to know if their ACT scores are statistically significantly different than the larger population of ACT scores. HeTreh’esr teh ies hnyop sottahtiesstiisc:ally significant difference in ACT scores between a local sample of 30 teenagers and the larger population. This is because they desire to conduct experiments on a sample that will generalize to the population. For this to happen the sample must be statistically significantly similar (not different) from the population.