Confidence Intervals for the Difference Between 2 Proportions

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. It is expressed with a certain level of confidence, such as 90% or 95%.

Tags

CCSS.HSS.IC.B.4

Front

What does it mean if a confidence interval includes 0?

Back

If a confidence interval includes 0, it suggests that there is no statistically significant difference between the two proportions being compared.

Tags

CCSS.7.SP.C.5

Front

What is the null hypothesis (H0) 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 any observed difference is due to sampling variability.

Front

What is the alternative hypothesis (Ha)?

Back

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

Front

What is a test statistic?

Back

A test statistic is a standardized value that is calculated from sample data during a hypothesis test. It is used to determine whether to reject the null hypothesis.

Front

What does a p-value represent?

Back

A p-value represents the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.

Front

What is the significance level (alpha)?

Back

The significance level (alpha) is the threshold for determining whether a p-value indicates a statistically significant result, commonly set at 0.05 or 0.01.

Front

What is the formula for the difference between two proportions?

Back

Front

What does it mean if a test statistic is beyond -2 or +2?

Back

If a test statistic is beyond -2 or +2, it indicates that the result is more than 2 standard deviations away from the mean, suggesting a small p-value and potential significance.

Tags

CCSS.HSS.ID.A.4

Front

What is the interpretation of a 90% confidence interval of (-0.5, 0.7)?

Back

A 90% confidence interval of (-0.5, 0.7) suggests that we are 90% confident that the true difference in proportions lies within this range, including the possibility of no difference.

Tags

CCSS.HSS.IC.B.4