chapter 11: additional topics using inferences 11.1 – chi-square: tests of independence 11.2 –...
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Chapter 11: Additional Topics Using Inferences
11.1 – Chi-Square: Tests of Independence11.2 – Chi-Square: Goodness of Fit11.3 – Testing a Single Variance or Standard Deviation11.4 – Inferences for Correlation and Regression
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Focus Problem
“Stone Age Tools and Archaeology”
• Read page 469 in text book
– Yes, it may be used in a HW problem!
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11.1 – Chi-Square: Tests of Independence
Chi-Square: X2 – Not a bell-shaped curve, – The mode (high point) of the distribution with n
degrees of freedom occurs over (n-2)– We use this test to test the independence of 2
factors!!
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Chi-Square Distribution
Ho : _______ and _______ are independent
H1 : _______ and _______ are NOT independent
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Contingency Table
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Expected Frequency
• Formula for expected frequency E
E =
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Guided Exercise #1
• As whole group, turn to page 473– Look-over answers
– Whole group clarification
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GE #1
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Computing the Sample Test Statistic X2
Sample Statistic
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Guided Exercise #2
• As whole group, turn to page 475– Look-over answers
– Whole group clarification
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Degrees of Freedom
d.f. = (R – 1)(C – 1)
• R = number of cell rows• C = number of cell columns
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Guided Exercise #3
• As whole group, turn to page 476– Look-over answers
– Whole group clarification
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Finding the P-Value for Tests of Independence
Always Right TailedTable in back
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How to Test for Independence of Two Statistical Variables
Same as before…1. Null Hypothesis, alternative hypothesis, level
of significance2. X2
3. P-value 4. Reject or not reject null hypothesis5. Conclude using context.
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Guided Exercise #4
• As whole group, turn to page 478-479– Look-over answers
– Whole group clarification
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Show on Calculator
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Checkpoint
Prescott will lose!
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Homework
• Read Pages 468-479– Take notes on what we have not covered
• Do Problems – Page 480-483 (1-10) ODD• Check odds in back of book
• Read and preload 11.2 information– Notes/vocab