A survey was carried out with students that had studied Maths, Physics and Chemistry at a college between 2016 and 2020. The students were divided into two groups $$\(A\)$$ and $$\(B\)$$. For the test in part (b), state with reasons the effect, if any, that this information would have on (i) the null and alternative hypotheses, (ii) the critical value, (iii) the value of the test statistic, (iv) the conclusion of the test. (4)

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