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A local newspaper reported that 75% of the residents in the developing section and 60% of...

A local newspaper reported that 75% of the residents in the developing section and 60% of the residents in other parts of the city favour passage of a proposed bond issue to build a new school. A random samples of 1 n  50 residents in developing section of the city and 2 n 100 residents in other parts of the city are selected, and the residents in the sample are asked whether they favour the bond proposal.

Find the probability that the difference in magnitude between the sample proportions favouring the bond proposal does not exceed 5%

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