Hyper Inflation is a balloon wholesaler selling large variety packs of jumbo balloons that are supposed to contain 50% red balloons, 30% blue balloons, and 20% white balloons. You take a random sample of 200 balloons from one of the variety packs and find that 120 of the balloons are red, 44 are blue, and 36 are white. Conduct an appropriate chi square goodness of fit test to test the null hypothesis that in the variety pack being evaluated the proportion of red balloons is .5, the proportion of blue balloons is .3, and the proportion of white balloons is .2. Use a significance level of 5%.
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