Question

The region of rejection for a one-tailed test is

The region of rejection for a one-tailed test is

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Answer #1

Rejection Region for one tail test

A one-tailed test is a statistical test in which the critical area of a distribution is one-sided so that it is either greater than or less than a certain value, but not both. If the sample being tested falls into the one-sided critical area, the alternative hypothesis will be accepted instead of the null hypothesis

The rejection region corresponds to the alternative hypothesis.

To reject the null, the tail used for the rejection region should cover the extreme values of the alternative hypothesis- the area in red.

The t or z scores that are rejected are ones in the red region or positive . The graph is given below

The z or t score is negative and less than the score set for the rejection condition. Is given by graph below

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