A researcher for a pharmaceutical company wants to compare the effects of three treatments on 35 patients. The researcher assigns a treatment to each patient. The researcher wants to determine whether the treatment assignments are random.
To determine whether the treatment assignments are random, the researcher performs a runs test.
The p-value is 0.930, which is greater than the significance level of 0.05. The researcher does not have enough evidence to conclude that the data are not in random order.
| Number of Observations | |||
|---|---|---|---|
| N | K | ≤ K | > K | 
| 35 | 2 | 23 | 12 | 
| Null hypothesis | H₀: The order of the data is random | 
|---|---|
| Alternative hypothesis | H₁: The order of the data is not random | 
| Number of Runs | ||
|---|---|---|
| Observed | Expected | P-Value | 
| 17 | 16.77 | 0.930 |