STAT-S 300 Lecture 20: 8.2 Notes (Nov. 13)
Document Summary
Conditions for estimating: shape- normal population or sample large enough so that np and n(1 p) > 10 (normal condition) and sampling distribution of is approximately normal, center, spread- provided that n < 1/10n. Constructing a confidence interval for: standard error- result when standard deviation of a statistic is estimated from data, one-sample z interval for population proportion. Choose srs of size n from large population that contains unknown proportion of successes. Approximate level c confidence interval for is z* where z* is critical value for standard normal curve with area c between z* and z* Use interval only when numbers of successes and failures in sample are both at least 10 and n < 1/10n. The four-step process: state- what parameter do you want to estimate, and at what confidence level, plan- identify the appropriate inference method.