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Hi, I'm considering the following question: "Let's say we just calculated the t-test statistic for the...

Hi, I'm considering the following question:

"Let's say we just calculated the t-test statistic for the following hypotheses: H0: mu <= 34, Ha: mu > 34. The sample size was 25, and the test statistic turned out to be -2.84. What would be the correct conclusion?

A- Do not reject the H0 - the p-value is smaller than alpha

B- Reject the H0 - the test statistic is more extreme than the critical value

C- Reject the H0 - the p-value is smaller than alpha

D- Do not reject the H0 - we have a right-tailed test, while the test statistic is negative"

Option D seems appropriate, since it's weird to test a right-tailed hypothesis with a negative statistic. However, maybe it is possible to convert the test statistic to something positive (since it can be mirrored).

Hope to hear from you, thanks!

math   Statistics-And-Probability   
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Answer #1

You are correct here in the logic, it makes no sense to test a right-tailed hypothesis with a negative statistic because the p - value will be very large. We can't convert it into positive test statistic and hence, we can straight forwardly conclude without looking into p - value that we do not reject Ho.

Option D is correct.

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