Which of these p-values would provide statistically significant results for a hypothesis test at the 5% significance level? Check all that applies.Group of answer choicesp = 0.023p = 0.053p = 0. 178p = 0.042
Question
Which of these p-values would provide statistically significant results for a hypothesis test at the 5% significance level? Check all that applies.Group of answer choicesp = 0.023p = 0.053p = 0. 178p = 0.042
Solution
In a hypothesis test, a result is considered statistically significant if the p-value is less than the significance level. The significance level is often set at 5% (or 0.05).
So, for a significance level of 5%, any p-value less than 0.05 would provide statistically significant results.
Looking at the provided p-values:
- p = 0.023 is less than 0.05, so it would provide statistically significant results.
- p = 0.053 is more than 0.05, so it would not provide statistically significant results.
- p = 0.178 is more than 0.05, so it would not provide statistically significant results.
- p = 0.042 is less than 0.05, so it would provide statistically significant results.
So, the p-values that would provide statistically significant results at the 5% significance level are p = 0.023 and p = 0.042.
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