Reading proficiency: An educator wants to construct a 95% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. (a) The results of a recent statewide test suggested that the proportion is 0.6. 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 95% confidence interval with a margin of error of 0.03. (b) Estimate the sample size needed if no estimate of p is available. (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.
Reading proficiency: An educator wants to construct a 95% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading.
(a) The results of a recent statewide test suggested that the proportion is 0.6. Using this estimate, what
A sample of ___ elementary school children is needed to obtain a 95% confidence interval with a margin of error of 0.03.
(b) Estimate the sample size needed if no estimate of p is available.
(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.
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