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Null-hypothesis for a Single-
Sample t-test
Conceptual Explanation
With hypothesis testing we are setting up a null-
hypothesis
With hypothesis testing we are setting up a null-
hypothesis – the probability that there is no effect or
relationship –
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.
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.
For example:
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.
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.

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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.
  • 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.