c) John James announced he is running for the Senate in Michigan against Gary Peters. Though it is early, his committee wants to know how the Michigan public feels about him. So the survey’s main question is: “If the 2020 Michigan Senate election was held today, who would you vote for: John James or Gary Peters?” It is early, so they just want some early numbers and are not too worried about accuracy. Thus their allowable error (precision) will be a modest 2.5% and they are establishing a 90% level of confidence. Working with an estimate based on maximum heterogeneity, how large should the simple random sample be?

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