In a clinical trial, each of 10 diagnostic scanners is being evaluated for its ability to detect early-stage lung abnormalities. While each scanner is intended to detect abnormalities reliably, they occasionally fail to register early indicators. Each hospital's radiology chief, after reviewing historical performance, has chosen a number of consecutive days they believe will be sufficient for the scanner to detect abnormalities at least once.
For each scanner, the table shows (1) the number of days it will be used and (2) the actual probability that the scanner will detect abnormalities on any given day.
Hypothesis:
Every scanner has at least a 75% probability of detecting abnormalities at least once during the days it is used.
| Scanner | Days Used | Daily Detection Probability |
|---|
| A | 4 | 0.3 |
| B | 3 | 0.55 |
| C | 5 | 0.12 |
| D | 2 | 0.65 |
| E | 6 | 0.18 |
| F | 3 | 0.5 |
| G | 2 | 0.85 |
| H | 4 | 0.27 |
| I | 5 | 0.3 |
| J | 3 | 0.75 |
For each of the scanners, select Contradicts the hypothesis if the data shown in the table for that scanner, considered alone, contradicts the hypothesis. Otherwise, select Does not contradict the hypothesis.
