Reading proficiency: An educator wants to construct a 99.9 % confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. Part: 0 / 3 Part 1 of 3 (a) The results of a recent statewide test suggested that the proportion is 0.65 . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03 ? A sample of |elementary school children is needed to obtain a 99.9 % confidence interval X 5 with a margin of error of 0.03 . Part: 1 / 3 Part 2 of 3 (b) Estimate the sample size needed if no estimate of p is available. A sample of elementary school children is needed to obtain a 99.9 % confidence interval with a margin of error of 0.03 . Part: 2 / 3 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 about the same since it does depend on the size of the population