Statistical Tests and Analysis Concepts

Mr. Starnes guides AP Statistics students through multiple choice questions on statistical inference, covering topics such as confidence intervals, sample size calculations, hypothesis testing, chi-square tests, regression analysis, and matched pairs t-tests. The session emphasizes understanding key statistical concepts and applying formulas to solve problems, with a focus on interpreting results and making informed decisions based on data analysis.

What is the main focus of a 95% confidence interval?

• The range of individual data points

• The mean of the population

• The median of the population

• The mean of the sample data

Which factor is crucial in determining the smallest sample size for a given margin of error?

• The standard deviation

• The critical value

• The mean of the sample

• The median of the sample

What is the critical value for a 90% confidence level?

• 1.96

• 1.28

• 1.645

• 2.33

What does the power of a statistical test represent?

• The probability of accepting the null hypothesis when it is true

• The probability of rejecting the null hypothesis when it is false

• The probability of accepting the alternative hypothesis when it is false

• The probability of rejecting the alternative hypothesis when it is true

What is the significance level's role in hypothesis testing?

• It is the probability of a Type I error

• It determines the sample size

• It is the probability of a Type II error

• It affects the power of the test

In a chi-square test for association, what do the degrees of freedom depend on?

• The number of variables

• The significance level

• The sample size

• The number of categories in each variable

In a chi-square test, what does a p-value between 0.01 and 0.02 indicate?

• No evidence against the null hypothesis

• Weak evidence against the null hypothesis

• Strong evidence against the null hypothesis

• Strong evidence for the null hypothesis

What is the null hypothesis in a regression analysis?

• The mean of the residuals is zero

• The correlation coefficient is one

• The intercept of the regression line is zero

• The slope of the regression line is zero

Which test is appropriate for analyzing the difference in times for a single group under two conditions?

• ANOVA

• Two-sample t-test

• Matched pairs t-test

• Chi-square test

What is the primary purpose of a regression analysis?

• To test for independence between variables

• To calculate the median of a dataset

• To find the relationship between two variables

• To determine the mean of a dataset