Overview: Compare 2 Population Proportions

Overview: Compare 2 Population Proportions

1. Hypothesis Test

   • Ho: p1 -p2 = p0
     • Ha: p1 - p2 < p0
       • Ha: p1 - p2 > p0
         • Ha: p1 - p2 != p0
           • 2-tail test
           • OR
         • Upper Tail Test
       • Lower Tail Test
       • OR
   • H0 will always be in terms of equality.

2. Calculate Test Statistic

   • Z-Obs
   • Convert the sampling distribution of (p1 - p2) to the Z-dist
     • CASE #1 H0: p1 - p2 != 0
     • CASE #2 H0: (p1 - p2) = 0

3. Determine P - value

   • P (Z > Zobs)
     • MEASUREING Area RIGHT of test stat >>>>
   • P (Z < Zobs)
     • MEASUREING Area to LEFT of Test Stat <<<<
   • P ( Z > |Zobs| ) x 2
     • Area to RIGHT of abs of test stat, multiply by 2 |>>>| X 2
   • Make Decision
     • P < alpha REJECT H0
     • P > alpha Fail to Reject
     • Conclusion
       • Based on alternative hypothesis, and p value compared to alpha. Either reject, or fail to reject the null
     • * FINAL STEP *
       • sifficient eveidence to conclude...
       • Insuffcient eveidence to determine...prove...support...
   • * STEP FOUR *

4. Independent Random Samples

5. * STEP ONE *

6. * STEP TWO *

7. * STEP THREE *