t a large midwestern university entering freshmen have historically selected the following colleges: College       Business Education Engineering Liberal Arts Sciences Percentages 15%            20%         30%              25%            10% Data obtained for the most recent class show that 73 students selected business, 105 selected education, 150 selected engineering, 124 chose liberal arts, and 47 selected sciences. Calculate the test statistic and the p-value if testing if the most recent class follows the historical figures. State your answer accurate to three decimal places.

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At a large midwestern university entering freshmen have historically selected
the following colleges:
College       Business Education Engineering Liberal Arts Sciences
Percentages 15%            20%         30%              25%            10%
Data obtained for the most recent class show that 73 students selected business, 105 selected education, 150 selected engineering, 124 chose liberal arts, and 47 selected sciences.

Calculate the test statistic and the p-value if testing if the most recent class follows the historical figures. State your answer accurate to three decimal places.

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