A gambler plays a simple card game in which a card is drawn from a shuffled deck and the suit is recorded. After each repetition, the card is returned to the deck and the deck is re-shuffled, so that the probability of a given suit in a fair deck is always 0.25. But after 160 repetitions, the following distribution of suits occurs: hearts diamonds spades clubs 29 45 52 34 At the 5% significance level, is there sufficient evidence that the game is not fair? State and perform the appropriate goodness-of-fit test. Your answer must include the following, as usual: a) a statement of the hypotheses b) The critical value of the test. c) The value of the test statistic, and d) a statement of conclusion