Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is 0.3. Donald wishes to test if indeed the coin is unbiased, and to do so by tossing the coin 100 times with the intention of not rejecting it as biased (as alleged) if he gets at most 37 heads.

What is the size of the type II error (under assumption the coin is biased with p = 0.3), giving your answer to 3 decimal places.