5. With a two-tailed hypothesis test, if the test statistic is far from 0, will

Question

5. With a two-tailed hypothesis test, if the test statistic is far from 0, will the p-value be large (close to 1) or small (close to 0)?

A. The p-value will be large because a test statistic far from 0 is indicative of a very unlikely event.

B: The p-value will be small because a test statistic far from 0 is indicative of a very unlikely event.

C: The p-value will be small because a test statistic far from 0 is indiative of a very likely event.

D: The p-value will be large because a test statistic far from 0 is indicative of a very likely event.

Explanation / Answer

As the value of test statistic increases it moves to the tail of the distribution, this results a decrease in p-value. Also, the test statistic would be an unlikely event it is in the tail of the distribution

This implies that a p-value which is very small cannot be indicative of likely events. Also, a large p-value cannot be large if the test statistic is far from zero.

Option B

The p-value will be small because a test statistic far from 0 is indicative of a very unlikely event.

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