5. +-2 points MIntroStat6 7.E.084 My Notes Ask Your Teacher A friend has perform

Question

5. +-2 points MIntroStat6 7.E.084 My Notes Ask Your Teacher A friend has performed a significance test of the null hypothesis that two means are equal. His report states that the null hypothesis is rejected in favor of the alternative that the first mean is larger than the second. In a presentation on his work, he notes that the first sample mean was larger than the second mean and this is why he chose this particular one-sided alternative (a) Explain what is wrong with your friend's procedure and why. We should never choose a one-sided alternative We should only choose a one-sided alternative if we have some reason to expect a specific directional outcome before looking at the sample results. The null hypothesis in this case should have been that the first mean is larger than the second. O The first mean can never be larger than the second mean; this indicates a mistake was made during statistical analysis O The null hypothesis in this case should have been that the two means were not equal (b) Suppose he reportedt-1.00 with a P-value of 0.16. What is the correct P-value that he should report? (Round your answer to two decimal places.)

Explanation / Answer

(A)

Correct option:

We should only choosea one sided alternative if we have ome reason to expect a specific directional outcome before looking at the sample results.

(B)

Since alterntive hypothesis should be two tailed so p-value will be 0.16 *2 = 0.32

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