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