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# 2011 the carnegie foundation for the

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Unformatted text preview: ccurred, and if we fail to reject the null hypothesis a type II error may have occurred. The following table summarizes the errors in a hypothesis test: Is H0 or Ha true? H0 is true Ha is true Conclusion Reject H0 Type I Error Correct Fail to reject H0 Correct Type II Error TRY THESE 5 Consider the example about GPA. Our conclusion (based on made up data) was: The data provide strong evidence that the mean GPA for students graduating from our college is greater than 2.50 (p = 0.002). If the conclusion is not correct, and the mean GPA is not greater than 2.50, what type of error would this be? 6 Consider the following null and alternative hypotheses: H0: The proportion of Americans who believe in UFO’s is 0.25. Ha: The proportion of Americans who believe in UFO’s is less than 0.25. A Describe what a type I error would be for these hypotheses. B Describe what a type II error would be for these hypotheses. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 6 Lesson 8.2.2 Introduction to Hypothesis Testing WRAP UP If we want to minimize the risk of making a type I error we can use a lower level of significance, α. This would mean we need an even more unlikely sample result to reject the null hypothesis. The best way to minimize the risk of a type II error is to use a larger sample size. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 7 Lesson 8....
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## This document was uploaded on 03/13/2014 for the course MATH 75 at Skyline College.

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