A college runs academic and vocational courses. The college has 1680 academic students and 2520 vocational students. State an assumption that is required to carry out the test in part (b). (1) All the academic students at the college take a basic skills course. Another random sample of 50 academic students and another independent random sample of 80 vocational students retake the basic skills test. The hypotheses used in part (b) are then tested again at the same level of significance. The value of the test statistic $$\(z\)$$ is now 1.54

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