Confidence Intervals

What is a confidence interval?

What does a 95% confidence level indicate about a confidence interval?

How do you construct a confidence interval for the mean?

How does sample size affect the width of a confidence interval?

How can you use confidence intervals to make decisions about hypothesis tests?

Hypothesis Testing Basics

What is hypothesis testing?

What are the null and alternative hypotheses?

How do we decide to reject or fail to reject the null hypothesis?

What are Type I and Type II errors in hypothesis testing?

What is the significance level in hypothesis testing?

Testing Proportions

What is the purpose of hypothesis testing for one proportion?

What is used to calculate the test statistic for a hypothesis test on a proportion?

What does the hypothesis test for one proportion compare?

What are the two common methods to make decisions in hypothesis tests for proportions?

What does a significant result in a hypothesis test for a proportion imply?

Applications in Statistics

Why are confidence intervals important in statistics?

How do hypothesis tests apply to real-world decision making?

What role do confidence intervals play in inferential statistics?

How are confidence intervals and hypothesis tests used in research?

How can various statistical concepts be combined in real-life applications?

Statistical Error and Interpretation

What is a statistical error?

What is the importance of confidence intervals in reporting statistics?

How do Type I and Type II errors relate to confidence intervals and hypothesis testing?

Why is it important to interpret statistical results carefully?

What does statistical literacy entail in the context of hypothesis testing?