APFIVE Hypothesis Test Conclusion for a Proportion
A union claims that 75% of its members support a strike. In a simple random sample of 125 union members, 87 indicate support. At the 5% significance level, what conclusion is appropriate for the one-sample z-test for a proportion?
| Hypothesis Test | Value |
|---|---|
| Test Statistic (z) | -1.394 |
| P-value | 0.0816 |
A
Since the p-value (≈ 0.0816) exceeds 0.05, there is insufficient evidence to reject the null hypothesis at the 5% level.
B
The result is significant at both the 5% and 10% levels.
C
There is strong evidence that the true proportion is less than 75%.
D
Since the p-value is less than 0.10, we reject the null hypothesis at the 10% level.
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