Hypothesis Tests

Front

What are the null and alternative hypotheses for a part that is supposed to weigh 19 pounds?

Back

H₀: μ = 19, Hₐ: μ ≠ 19

Front

What do small p-values indicate about the null hypothesis?

Back

Small p-values are convincing evidence that the null hypothesis is wrong.

Front

What is the symbol for the significance level in hypothesis testing?

Back

α (alpha)

Tags

CCSS.HSN.Q.A.1

Front

What action do we take when the p-value is greater than alpha?

Back

Fail to reject H₀.

Front

State the null and alternative hypothesis for the mean monthly rent of one-bedroom apartments claimed to be $900, if students believe it is higher.

Back

H₀: μ = 900, Hₐ: μ > 900

Front

What is the purpose of hypothesis testing?

Back

To determine if there is enough evidence to reject a null hypothesis.

Front

What is a Type I error in hypothesis testing?

Back

Rejecting the null hypothesis when it is actually true.

Front

What is a Type II error in hypothesis testing?

Back

Failing to reject the null hypothesis when it is actually false.

Front

What does a significance level (α) of 0.05 mean?

Back

There is a 5% risk of committing a Type I error.

Front

What is the relationship between p-value and significance level?

Back

If p-value < α, reject the null hypothesis; if p-value ≥ α, fail to reject the null hypothesis.