MATH 220 Lecture Notes - Lecture 7: Simple Random Sample, Point Estimation, Confidence Interval

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Objective #1: construct a confidence interval for a population proportion. P is the population proportion of individuals who are in a specified category. X is the number of individuals in the sample who are in the specified category. N is the sample size. is the sample proportion of individuals who are in the specified category. Procedure for constructing a confidence interval for p. Check to be sure the assumptions are satisfied. If they are, then proceed with the following steps. Step 1: compute the value of the point estimate. Step 2: find the critical value last line of table a. 3, from table a. 2, or with ti-84 corresponding to the desired confidence level, either from the. Step 3: compute the standard error the and multiply it by the critical value to obtain margin of error. Step 4: use the point estimate and the margin of error to construct the confidence interval: Example #1: construct a confidence interval for a proportion.