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4. Define p(X) to be the proportion of fresh graduates from college X with monthly salary at most 2,00,000. Data based on random selection from

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4. Define p(X) to be the proportion of fresh graduates from college X with monthly salary at most 2,00,000. Data based on random selection from 5 colleges E, F, G, H, I are given below. College [X] E F G H Sample size [n(X)] 20 20 20 20 20 Sample value of p(X ) 0.3 0.4 0.5 0.6 0.7 (a) Can we conclude if p(G) > 40%? Report p-value. Conclude at a = 10%. (b) Test if p( E) = p( F) = p(G) = p(H) = p(I) or not. Report p-value. Conclude at a = 10%

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