Statistical Analysis: Significance Testing in AP Statistics
Explore the proper conclusion to a significance test in AP Statistics, using Luke Wilcox as an example to determine if exam questions are scored too hard. Understand the interpretation of P-values and how they influence the conclusion regarding the null hypothesis.
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Presentation Transcript
The Proper Conclusion to a Significance Test
Luke Wilcox is an acorn at the 2013 AP Statistics reading. After three days of scoring, his table leader is worried that he is scoring the exam questions too hard. The table leader takes a simple random sample of 35 exam questions that Luke has graded and calculates the average score assigned is 1.96 with a standard deviation of 1.12. The average score assigned on this question is supposed to be 2.14. Does the table leader have good evidence that Luke is scoring the exam questions too hard?
The Proper Conclusion Interpret P-value. If P-value is small strong evidence against Ho --> stat. sig. --> reject Ho --> can conclude Ha (context) If P-value is large weak evidence against Ho --> not stat. sig. --> fail to reject Ho --> cannot conclude Ha (context)
