4. A person is playing a game consisting of similar independent rounds. At each round there are three possible outcomes: win 1$, lose 1$ and draw (not win and not lose money). In the last 100 rounds player won in 62 and lost in 23 rounds. Person estimates probability p to lose in one round as p = X/2, where X is sample mean of profits X1, X2,..., Xn in rounds 1,.., n correspondingly. (a) At 5% significance level test a claim that probability to win in one round is 3 times more than probability to lose