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0 H H A
Conditions 1.  Randomization 2.  Independence:  Plausible Independence?   10% Condition -  3.  np, nq  ≥  10
p +1 σ +2 σ +3 σ -1 σ -2 σ -3 σ P( p  ) = P( z  ) = < > ≠ N( p,  ) z =
Interpretation If the  , then the  probability of observing a sample  that is  is  . null hypothesis is true proportion/mean less than,  greater than, at least as extreme as p-value 1 2 p-hat 4 3
Fail to Reject the Null Hypothesis Reject the Null Hypothesis High p-value High likelihood of happening through natural sampling variation Low p-value Low likelihood of happening through natural sampling variation
 

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Hypothesis Testing 1

  • 1. 0 H H A
  • 2. Conditions 1. Randomization 2. Independence: Plausible Independence? 10% Condition - 3. np, nq ≥ 10
  • 3. p +1 σ +2 σ +3 σ -1 σ -2 σ -3 σ P( p ) = P( z ) = < > ≠ N( p, ) z =
  • 4. Interpretation If the , then the probability of observing a sample that is is . null hypothesis is true proportion/mean less than, greater than, at least as extreme as p-value 1 2 p-hat 4 3
  • 5. Fail to Reject the Null Hypothesis Reject the Null Hypothesis High p-value High likelihood of happening through natural sampling variation Low p-value Low likelihood of happening through natural sampling variation
  • 6.