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For a one-tail (lower) test for a single population, we do not reject the null if...

For a one-tail (lower) test for a single population, we do not reject the null if the test statistic is greater than or equal to the negative of the critical value.

True or false

Math   Statistics-And-Probability   
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Answer #1

Answer: True

Explanation:

We know that we reject the null hypothesis when the absolute test statistic value is greater than the absolute critical value. This means, if the test is an upper tailed or right tailed, then we reject the null hypothesis if test statistic is greater than the critical value. If the test is a lower tailed or left tailed, then we reject the null hypothesis if test statistic value is less than the negative of the critical value; and we do not reject the null hypothesis if the test statistic is greater than or equal to the negative of the critical value.

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