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Comparison of student's performance involved the total of n = 600 respondents. Two groups selected were: Undergraduate and Graduate. Individual performance was measured in a
Comparison of student's performance involved the total of n = 600 respondents. Two groups selected were: Undergraduate and Graduate. Individual performance was measured in a binary scale (Pass or Fail). The summaries are presented below
Group | Size | Pass | Proportion |
Graduate | n1 = 200 | X1 = 139 | (p^)1 = 139/200= 0.6950 |
Undergraduate | n2 = 400 | X2 = 311 | (P^)2 = 311/400 = 0.7775 |
Pooled | n= n1 +n2 =600 | X= X1 + X2 = 450 | p^ = 450/600=0.75 |
At the significance level, = 0.05, do you have sufficient evidence that population proportions DIFFER?
- Evaluate the test statistic
- Specify critical value (or values) needed for this procedure.
- State the Rejection Rule Formulate your decision
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