Hypothesis Testing Quiz

What is a hypothesis in statistics?

• A proven fact

• An assumption about a population parameter

• A random guess

• A mathematical equation

What are the two types of hypotheses in hypothesis testing?

• Dependent and independent hypotheses

• Random and fixed hypotheses

• Null and alternative hypotheses

• Primary and secondary hypotheses

What does the null hypothesis (H₀) represent?

• A claim of no effect or no difference

• A claim of a significant difference

• The best possible outcome

• The observed data

Which of the following best describes an alternative hypothesis (H₁)?

• It always represents the true state of nature

• It contradicts the null hypothesis

• It is always true

• It is proven beyond doubt

What are Type I and Type II errors?

• Errors in formulating hypotheses

• Incorrectly rejecting or failing to reject a hypothesis

• Random errors in data collection

• Errors in computing statistical values

A Type I error occurs when:

• We accept a false null hypothesis

• We reject a true null hypothesis

• We accept a true null hypothesis

• We make a calculation mistake

A Type II error occurs when:

• We reject a false null hypothesis

• We fail to reject a false null hypothesis

• We accept a false alternative hypothesis

• We reject a true alternative hypothesis

The probability of making a Type I error is called:

• Beta (β)

• Confidence level

• Alpha (α)

• Sample variance

The probability of making a Type II error is called:

• Confidence level

• Significance level

• Beta (β)

• Alpha (α)

What is the significance level (α) commonly set at in hypothesis testing?

• 0.10

• 0.05

• 0.01

• Any of the above, depending on the study