Garland Industries inspects samples of product from each large production batch and classifies inspected items as High Pass, Pass, Marginal Pass, and Unacceptable. Historically, the company produces batches in which 50% of the units can be classified as High Pass, 30% can be classified as Pass, 15% can be classified as Marginal Pass, and 5% can be classified as Unacceptable. In a sample of 120 units selected from the most recent batch, 42 were classified as High Pass, 36 were classified as Pass, 25 were classified as Marginal Pass, and 17 were classified as Unacceptable. Conduct an appropriate chi square goodness of fit test to test the null hypothesis that the proportions in this current batch follow the historical pattern. Use a significance level of 1%.
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