A test of the null hypothesis, H 0 : = 0, givesthe test statistic 2.00 from a sa

Question

A test of the null hypothesis, H0: = 0, givesthe test statistic 2.00 from a sample ofsize 24. For each of the followingalternative hypotheses, choose the range for the appropriatep-value.

What is the p-value if the alternative is Ha: > 0?

What is the p-value if the alternative is Ha: < 0?

What is the p-value if the alternative is Ha: 0?

Explanation / Answer

assuming you are using the student t test then you have to find thep-value using the student t distribution with 14 degrees offreedom. remember that the degrees of freedom is equal to n - 1where n is the sample size. the p-value is the area under the curve that is in biggerdisagreement with the null than the observed sample, or you canthink of it as the area under the curve that agrees with thealternative. the p-value for the alternative Ha: < 0 is P(t_14 < 1.65) = 0.06059509 I get this value using software. The interval you would get fromthe table is 0.05 1.65) = P( t_14 < -1.65) + P(t_14 > 1.65) = 0.06059509 + 0.06059509 = 0.1211902 if you are using the z test, which I doubt based on this questionstatement, you would have p-value = P( |Z| > 1.65) = 0.09894294

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