A researcher believes that college freshmen are exercising less than the recomme
ID: 3127865 • Letter: A
Question
A researcher believes that college freshmen are exercising less than the recommended guidelines of 150 minutes per week. His hypotheses are H0: =150, Ha: <150, alpha=.05. He surveys a random sample of 4000 college freshman and obtains a mean of 149.65 minutes per week with p-value=.023. Which if the following statements is true?
The one tailed test was more conservative for detecting a significant difference.
The results would not be significant if alpha=.05, two-tailed
The difference, though statistically significant, is not compelling or practically meaningful
A type II error may have occurred
a.The one tailed test was more conservative for detecting a significant difference.
b.The results would not be significant if alpha=.05, two-tailed
c.The difference, though statistically significant, is not compelling or practically meaningful
d.A type II error may have occurred
Explanation / Answer
This is one (left) tailed test and p-value = 0.023 is less than 0.05. The difference is significant. Since sample size was very large, even the small difference is statistically significant. Therefore, the correct option is:
The difference, though statistically significant, is not compelling or practically meaningful
c.The difference, though statistically significant, is not compelling or practically meaningful