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The student organization is planning to ask the sample of 50 students if they have observed alcohol abuse brochures on campus. Sample percentage who say "Yes" will be reported. Organization's statistical advisor says that standard deviation of this percentage will be about 7%.

a) Determine standard deviation be if sample contained 100 students rather than 50?
b) How large the sample is required to decrease standard deviation of percentage who say "Yes" from 7% to 3.5%? Describe to someone who knows no statistics advantage of taking a larger sample in survey of opinion.

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