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 the sample you wish to run studies on is
representative of the population from which it was
drawn.

6. For example:

7. Let’s say we want to know if the sample of teenage ACT
scores we have collected (sample size = 30) is
representative of the larger population of student ACT
scores.

8. Let’s say we want to know if teenagers who eat
asparagus (sample size = 30) get better ACT scores than
the larger population of students.
Here’s the null-hypothesis:
There is no significant difference between the mean
ACT scores of students in our sample and the mean
ACT scores of the general population.