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Can we make a directional conclusion in a two-tailed test? a No, because it woul

ID: 3171016 • Letter: C

Question

Can we make a directional conclusion in a two-tailed test?

a

No, because it would not conform to the standard set forth by the APA Publication Manual.

b

No, because a two-tailed test is non-directional.

c

Yes, because a two-tailed test is a directional test.

d

Yes, because a two-tailed test is the same as a one-tailed test with at half the alpha level.

a

No, because it would not conform to the standard set forth by the APA Publication Manual.

b

No, because a two-tailed test is non-directional.

c

Yes, because a two-tailed test is a directional test.

d

Yes, because a two-tailed test is the same as a one-tailed test with at half the alpha level.

Explanation / Answer

Correct answer is Option d

Yes, because a two-tailed test is the same as a one-tailed test with at half the alpha level.

For example,

If flipping a coin, testing whether it is biased towards heads is a one-tailed test, and getting data of "all heads" would be seen as highly significant, while getting data of "all tails" would be not significant at all (p = 1).

By contrast, testing whether it is biased in either direction is a two-tailed test, and either "all heads" or "all tails" would both be seen as highly significant data.

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