You buy a big bas of 50 gumballs. There are five different colours of gumball in the bas and you are curious if each of the colours were equally likely to be put in the bas or whether some colours were more likely than others. a. If all five colours were equally likely to be put in the bag what uwuld be the expected number of gumballs of each colour? b. Suppose that open the bag of gumballs and separate them into five piles by colour. You find that ynu have 8 red, 7 green, 14 orange, 7 yellcm and 14 Slue. Determine the X 2 test statistic if the null hypothesis is that the colours ofthe gumballs occur with equal frequency.