STAB22H3 Lecture Notes - Lecture 12: Random Variable, Sample Size Determination, Null Hypothesis

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Let and be the two population proportions of successes. Population population proportion sample size count of successes sample proportion. The estimate of the difference in the population proportions is. A ( ) ci for is where is the value for the standard normal density curve with area between and . The standard error of is and the margin of error for confidence level is . Use this method for 90%, 95%, or 99% confidence when the number of successes and the number of failures in each sample are at least 10. Example: let"s find a 95% ci for the difference between proportion of men and of women who are frequent binge drinkers. n. Report: men are 5. 4% more likely to be binge drinkers with me = 1. 5%. Plus four ci for a difference in proportions. We add 1 success and 1 failure to each sample: