Hypothesis Testing

Front

What is the null hypothesis in hypothesis testing?

Back

The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption that is tested against an alternative hypothesis.

Front

What does a small p-value indicate in hypothesis testing?

Back

A small p-value (typically less than 0.05) indicates strong evidence against the null hypothesis, suggesting that the observed data is unlikely under the assumption that the null hypothesis is true.

Front

What is the significance level (alpha) in hypothesis testing?

Back

The significance level (alpha) is the threshold for determining whether to reject the null hypothesis, commonly set at 0.05, which corresponds to a 5% risk of concluding that a difference exists when there is no actual difference.

Tags

CCSS.HSS.IC.B.4

Front

What is a t-test used for in hypothesis testing?

Back

A t-test is used to determine if there is a significant difference between the means of two groups, especially when the sample size is small and the population standard deviation is unknown.

Front

What is the purpose of a 2 Sample Z-Test?

Back

A 2 Sample Z-Test is used to compare the proportions of two independent groups to determine if there is a statistically significant difference between them.

Front

What does it mean to reject the null hypothesis?

Back

Rejecting the null hypothesis means that the evidence suggests that the alternative hypothesis is true, indicating a statistically significant effect or difference.

Front

What is the alternative hypothesis in hypothesis testing?

Back

The alternative hypothesis (H1) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.

Front

How do you interpret a p-value of 0.003 in hypothesis testing?

Back

A p-value of 0.003 indicates strong evidence against the null hypothesis, leading to the conclusion that there is a significant difference at the alpha level of 0.05.

Front

What is the difference between one-tailed and two-tailed tests?

Back

A one-tailed test assesses the direction of an effect (greater than or less than), while a two-tailed test assesses whether there is any difference (either greater or less) without specifying a direction.

Front

What is a confidence interval in the context of hypothesis testing?

Back

A confidence interval is a range of values derived from sample data that is likely to contain the population parameter with a specified level of confidence, often used to assess the precision of an estimate.

Tags

CCSS.HSS.IC.B.4