Abstract:
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We will discuss two activities that we developed for illustrating general properties of: confidence intervals and hypothesis tests for proportions. These activities are completed interactively. In completing the activities, students generate, collect, and analyze data.
We developed these activities to use in an introductory statistics course at the undergraduate level. Our goal was to help students visualize the process of repeatedly sampling from a population and using the sample data to make an inference about an unknown population parameter. Through completion of these activities, students will develop an understanding of how to interpret a confidence interval and the relationship between the confidence level and confidence interval width. Additionally, students explore hypothesis testing concepts. Concepts illustrated are: interpretation of p-values, Type I error rate, Type II error rate, Power, and the relationship between Type I and Type II error rates and Power.
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