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Inferential Testing

Probability and significance

  • 6 things to know
  • Paper 2

Overview

What the significance level represents, Type I and Type II errors, and what fixes the critical value a result is compared against.

What you need to know

Answer each one before you reveal it.

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Key term

What does the significance level p represent?

Key term

What is a Type I error?

Key term

Define a Type II error.

Key term

What is a critical value, and what fixes it?

Process

How is an observed value compared with a critical value?

Evaluation

What raises the risk of each type of error?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What are statistical tables used for in inferential testing?

    Model answer

    To find critical values that determine whether an observed result is statistically significant.

  2. 2

    Define what a critical value is in statistical testing.

    Model answer

    The threshold value from a statistical table that the observed/calculated value must meet or exceed (or be equal to or less than, depending on the test) for the result to be considered statistically significant.

  3. 3

    What does the significance level (p-value) represent?

    Model answer

    The probability that the observed results occurred by chance rather than due to the independent variable.

  4. 4

    When might a researcher use a significance level of p ≤ 0.01?

    Model answer

    When the consequences of a Type I error are serious, requiring a more stringent criterion.

  5. 5

    In what research context might a significance level of p ≤ 0.10 be appropriate?

    Model answer

    In exploratory or pilot research, where a more lenient criterion is acceptable.

  6. 6

    What is a Type I error?

    Model answer

    When the null hypothesis is rejected when it is actually true (a false positive).

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