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 1000 times with the intention of not rejecting it as biased (as alleged) if he gets at mostn heads.

If it is desired that the size of both the type I error and type II error does not exceed 0.1%.

Calculate the value of maximum value of n.