the proper conclusion to a significance test. luke wilcox is an “acorn” at the 2013 ap...

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The Proper Conclusion to a Significance Test

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Page 1: 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

The Proper Conclusion to a Significance Test

Page 2: 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

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?

Page 3: 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
Page 4: 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

The Proper Conclusion

Page 5: 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

The Proper ConclusionInterpret 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)

Page 6: 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