Answer “True” if the statement is always true. If the statement is not always true, replace the underlined words with words that make the statement always true.

Alpha is the measure of the area under the curve of the standard score that lies in the rejection region for Ho.

To determine if the statement is always true, we need to understand the concept of alpha and the rejection region for Ho.

Alpha (α) is a significance level used in hypothesis testing. It represents the maximum probability of committing a Type I error, which is rejecting the null hypothesis (Ho) when it is actually true. Commonly used alpha levels are 0.05 and 0.01.

The rejection region for Ho is the range of test statistics or critical values that lead to rejecting the null hypothesis. It is determined based on the significance level (alpha) and the specific test being conducted.

Given the statement: "Alpha is the measure of the area under the curve of the standard score that lies in the rejection region for Ho," we need to determine if it is always true.

The statement is not always true because the measure of the area under the curve that lies in the rejection region depends on the specific alpha level chosen and the distribution being used. Instead of replacing the underlined words, we can modify the statement to make it always true:

"Alpha is the significance level used to determine the range of test statistics or critical values that lead to rejecting the null hypothesis (Ho)."

By modifying the statement, we have made it universally true since alpha is always associated with determining the boundaries of the rejection region and not the actual measure of the area under the curve.

Alpha is underlined. I want to say this is true. Please correct me if I am wrong.