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true or false When the level of confidence and sample proportion p remain the same, a...

true or false

When the level of confidence and sample proportion p remain the same, a confidence interval for a population proportion p based on a sample of n = 200 will be narrower than a confidence interval for p based on a sample of n = 100.

When the level of confidence and the sample size remain the same, a confidence interval for a population mean µ will be narrower, when the sample standard deviation s is larger than when s is smaller.

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Confidence interval = mean +- z * (standard deviation/ _/number)

So confidence interval will be narrower if standard deviation falls or number increases.

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confidence interval for a population proportion p based on a sample of n = 200 will be narrower than a confidence interval for p based on a sample of n = 100 : TRUE

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a confidence interval for a population mean µ will be narrower, when the sample standard deviation s is larger than when s is smaller: FALSE

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