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Chapter-10 Hypothesis

# Chapter-10 Hypothesis - Math 10 Chapter 9 Notes Hypothesis...

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Math 10 Chapter 9 Notes:  Hypothesis Testing done constantly in medicine, business,    polling, education, etc. to do:  set up 2 contradictory  statements  first statement - often the accepted  belief conduct a test to see whether our  data  supports or does not support the  first hypothesis

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Math 10 Chapter 9 Notes:  Hypothesis Testing Null hypothesis: Ho: Alternate hypothesis: Ha: Example: Ho: John loves Marcia Ha: John does not love  Marcia Example: Ho:   μ = 6 Ha:  μ < 6
Math 10 Chapter 9 Notes:  Hypothesis Testing Decision: Ho is: True False Do not reject Ho Correct Type II  Decision Error Reject Ho Type I Correct Error Decision

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Math 10 Chapter 9 Notes:  Hypothesis Testing Type I error:   Reject the null  hypothesis when the null is TRUE. P(Type I error)  =   α Type II error:   Do not reject the null  hypothesis when the null is FALSE. P(Type II error)  =   β Goal: Minimize  α and β .
Three people with collective  wisdom of: a) 457   b) 458                  c) 467   d) 491

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Math 10 Chapter 9 Notes:  Hypothesis Testing “ = ,  , or   ” are ALWAYS in the null  hypothesis Ho. “   , > , or < ” are ALWAYS in the  alternate hypothesis Ha.
Math 10 Chapter 9 Notes:  Hypothesis Testing Examples: State the null hypothesis,  Ho, and the alternative hypothesis, Ha,  in terms of the appropriate parameter  ( μ  or p). At most 60% of Americans vote in  presidential elections. (Right-Tailed) Ho: p     0.60 Ha: p  >  0.60

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Math 10 Chapter 9 Notes:  Hypothesis Testing Fewer than 5% of adults ride the bus to  work in New York City. (Left-tailed) Ho: p   0 .0 5 Ha: p  <  0.05
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