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A theory predicts that the probability of an event is 0.4. The theory is tested experimentally and in 400 independent trials the event occurred 140

A theory predicts that the probability of an event is 0.4. The theory

is tested experimentally and in 400 independent trials the event

occurred 140 times. Is the number of occurrences significantly less

than that predicted by the theory? Test at the 1% level of

significance

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