The answer is: False
"When a researcher claims that there is not enough support to establish significance for the research hypothesis, but in fact there is enough."
The previous statement is a Type II statistical error because it refers to the acceptance of a false null hypothesis when in reality false (false negative). In this case the researcher is oblivious to the fact that there is enough to support the hypothesis (a true null hypothesis) and yet claims that there isn't (acceptance of the false hypothesis).