Plan from the supplied facts
Fictional inquiry schedules six observations. Its supplied decision rule chooses P if at least five are positive, otherwise Q. The goal is this finite decision, not estimating a wider population rate. Given p positives and r observations left, the possible final positive count is p through p+r.
| Observed positive / negative | Left | Final positive bounds | Decision fixed |
|---|---|---|---|
| 5 / 0 | 1 | 5–6 | P |
| 2 / 2 | 2 | 2–4 | Q |
| 4 / 1 | 1 | 4–5 | Not yet |
Work through the choice
Stop only when every possible remaining outcome yields the same finite choice. The third row can still finish with four or five positives, crossing the threshold.
With four positives, no negatives and two observations left, is P already fixed?
Show the worked answer
No. Final positives can be 4–6, so both Q and P remain possible. This is a logical stopping check, not a statistical confidence statement.
Material to use in your plan
Use observed positives, observations left, minimum/maximum possible total and whether both bounds imply one choice. Retain the finite decision rule with the worksheet.