Compute the minimum common sample size needed

Reference no: EM131813925

Question: A member of the state board of education wants to compare the proportions of National Board Certified (NBC) teachers in private high schools and in public high schools in the state. His study plan calls for an equal number of private school teachers and public school teachers to be included in the study. Let p₁ and p₂ be these proportions. Suppose it is desired to find a 99% confidence interval that estimates p₁ - p₂ to within 0.05.

a. Supposing that both proportions are known, from a prior study, to be approximately 0.15, compute the minimum common sample size needed.

b. Compute the minimum common sample size needed on the supposition that nothing is known about the values of p₁ and p₂.

Reference no: EM131813925

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