Reading proficiency:An educator wants to construct a99.5% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading.Part:0 / 3

0 of 3 Parts Complete

Part 1 of 3

(a) The results of a recent statewide test suggested that the proportion is0.73. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of0.03?

A sample of1726elementary school children is needed to obtain a99.5%confidence interval with a margin of error of0.03

(b) Estimate the sample size needed if no estimate ofp is available.

A sample of_2189_elementary school children is needed to obtain a99.5%confidence interval with a margin of error of0.03

Part 3 of 3

(c) If the educator wanted to estimate the proportion in the entire United States rather than in Colorado, would the necessary size be larger, smaller, or about the same? Explain.

The necessary sample size would be(Choose one), since it(Choose one)

depend on the size of the population.

Please answer C

About the same, Large or Smaller,

Does or Does not