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Significance of a random sample size

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If a random sample of 10 people found that 9 were pro-life (that is, 90 percent), while another random sample of 1,000 people from the same population found that 550 were pro-life (that is, 55 percent), which would you find more significant? Why?

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This solution provides assistance determining the significance of a random sample size.

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The random sample of 1000 would be more significant. Without being too technical, we can think about the problem this way. If we only poll 10 people and 9 claim to be pro-life, are we really sure that around 90 percent of the population is pro-life? Why not 70 percent, or 80 percent? Suppose we asked 2 people ...

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