Question: (10 points total as distributed below) A principal suspects that the current students at his school will perform different than students in previous years on a mathematics assessment. From previous years, 40% of the students achieved a superior rating, 40% achieved a passing rating, 10% achieved a remedial rating, and 10% achieved a failing rating. The principal collected the following information from a random sample of 1000 student files from the current school year. Would you agree with the principal’s hypothesis, based on the sample information? Perform a statistical test using \[\alpha =0.05\] . Interpret your results.

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