AP Statistics - Chapter 11 Review

Front

What does a p-value less than 0.05 indicate in hypothesis testing?

Back

It indicates that there is significant evidence to reject the null hypothesis (H0).

Front

What is the Chi-Square Test for Homogeneity used for?

Back

It is used to determine if the distribution of a categorical variable is the same across different populations.

Front

What is the purpose of the Chi-Square statistic?

Back

It compares observed frequencies to expected frequencies under the null hypothesis.

Front

What does a p-value between 0.05 and 0.10 suggest about the results of a test?

Back

It suggests that there is moderate evidence against the null hypothesis, but not strong enough to reject it.

Front

What is the null hypothesis (H0) in the context of Chi-Square tests?

Back

The null hypothesis states that there is no association or difference between the groups being compared.

Front

How do you calculate the expected frequency in a Chi-Square test?

Back

Expected frequency = (Row total * Column total) / Grand total.

Front

What is the significance of the Chi-Square statistic being greater than the critical value?

Back

It indicates that the observed data significantly deviates from what was expected under the null hypothesis.

Front

What is the difference between a Chi-Square Test for Independence and a Chi-Square Test for Homogeneity?

Back

The Test for Independence assesses if two categorical variables are related, while the Test for Homogeneity compares distributions across different populations.

Front

What does it mean if the Chi-Square test results in a p-value greater than 0.10?

Back

It suggests that there is not enough evidence to reject the null hypothesis.

Front

What is the formula for the Chi-Square statistic?

Back

χ² = Σ((O - E)² / E) where O = observed frequency and E = expected frequency.