A factory makes balloons for meteorological use. The balloons are available in different colors. As far as possible, a shipment must contain 20% blue balloons, 10% red balloons, 50% yellow balloons and 20% green balloons. In a shipment consisting of n = 917 balloons, 174 are blue, 73 red, 431 yellow and 239 green. Is this shipment within the guidelines for the proportion of each color? This is formulated as the hypothesis test (1: blue, 2: red, 3: yellow, 4: green): H0: p1 = 0.2, p2 = 0.1, p3 = 0.5, p4 = 0.2 against H1: pi  pi (0) for at least one of the probabilities The factory management wants to perform a model test with significance level  = 10%. 1. Calculate Q.