Final answer:
The statement that we might consider replacing a test question if the item-rest correlation is higher than the rest is false, as a higher correlation indicates good consistency. Additionally, a positive correlation does not automatically mean there are health benefits, only that there is a relationship between two variables.
Step-by-step explanation:
Regarding the statement If the item-rest correlation for a test question is higher than the rest, then we might consider replacing it, the answer is False.
The item-rest correlation is used to measure how well a test question relates to the other questions on a test. It's a statistic that reflects how a single item on a test correlates with the sum of the scores of the remaining items, hence its name. A higher item-rest correlation indicates that the question is highly related to the overall test and is consistent with the rest of the items. Conversely, a low item-rest correlation might suggest that the question is not measuring the same construct as the rest of the test or is of poor quality, and therefore might be considered for replacement.
As for the statement A positive correlation means there are health benefits to the variable under investigation, this is also False. A positive correlation simply indicates a relationship where one variable increases as the other increases or decreases as the other decreases. It does not infer causality or benefits. Without further context, we can't assume health benefits from a positive correlation alone.