Question

3. For each of the following, circle your answer to indicate whether the quantity can never be negative or can sometimes be negative.

z score	Sometimes, Never
t score	Sometimes, Never
Test Statistic	Sometimes, Never
Probability	Sometimes, Never
Sample proportion	Sometimes, Never
Sample Mean	Sometimes, Never
Standard Dev.	Sometimes, Never
P-value	Sometimes, Never
Significance Level	Sometimes, Never

Answer 1

z score	Sometimes
t score	Sometimes
Test Statistic	Sometimes
Probability	Never
Sample proportion	Never
Sample Mean	Sometimes
Standard Dev.	Never
P-value	Never
Significance Level	Never

Explanation:

We know that the z scores and t-score take any value (positive or negative). Also, value of test statistic can take positive or negative values. We know that the sample proportion or probability never takes negative value and it is always lies between 0 and 1. Also, P-value and level of significance are the forms of probabilities so these are never negative. Also, we know that the standard deviation is never negative.