True or False (and please explain): 1. The null hypothesis should be rejected if

Question

True or False (and please explain):

1. The null hypothesis should be rejected if the critical value is farther out in the tail of the distribution than the test statistic

2. If the sample mean falls on the wrong side of the hypothesized value in a one-sided test, then the null hypothesis will automatically be rejected.

3. The p-value for a two-sided test is twice the p-value of a corresponding one-sided test

4. For an upper one-sided test, the critical value using a 1% level of significance is smaller than the critical value using a 10% level of significance.

Explanation / Answer

1. This statement is FALSE.

The null hypothesis should be rejected if the test statistic is farther out in the tail of the distribution than the critical value.

2. This statement is FALSE.

If the sample mean falls on the wrong side of the hypothesized value in a one-sided test, then the null hypothesis will never be rejected.

3. This statement is TRUE.

4. This statement is FALSE.

For an upper one-sided test, the critical value using a 1% level of significance is greater than the critical value using a 10% level of significance.

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