An editor of a video game web site wants to determine whether the proportion of readers that own a PlayStation console is greater than 0.5.
- Choose .
- From the drop down, select Summarized data.
- In Number of events, enter 124.
- In Number of trials, enter 200.
- In Hypothesized proportion, enter 0.5.
- Click Options.
- From Alternative hypothesis, select Proportion > hypothesized value.
- Enter 1 in Base for random number generator.
Note
Using Base for random number generator ensures that your results match the example.
- Click OK in each dialog box.
Interpret the results
The alternative hypothesis states that the proportion of readers that own a PlayStation console is greater than 0.5. Because the p-value is 0.002, which is less than the significance level of 0.05, the editor rejects the null hypothesis and concludes that the proportion of readers that own a PlayStation console is greater than 0.5. The histogram shows that the bootstrap distribution appears to be normal, so the editor can trust the results.
Observed Sample
| N | Proportion |
|---|---|
| 200 | 0.620000 |
Randomization Test
| Null hypothesis | H₀: p = 0.5 |
|---|---|
| Alternative hypothesis | H₁: p > 0.5 |
| Number of Resamples | Average | P-Value |
|---|---|---|
| 1000 | 0.49942 | 0.002 |
