MAT 221 Lecture Notes - Lecture 11: Null Hypothesis, Central Limit Theorem, Confidence Interval

• School: Syracuse University
• Department: Mathematics
• Course: MAT 221
• Professor: Au

Document Summary

Use table a to find the z-score of one end of the interval. Confidence interval: x (z-score) n: margin-of-error = (z-score) n , which is always a positive number. The higher the confidence level, the larger the margin-of-error. The larger the sample size, the smaller the margin-of-error. (that is why we want as large a sample as possible when doing a statistical study. ) In statistics, a hypothesis is an assumption about the characteristics of one or more variables in one or more populations. (in this section, we will be dealing with hypothesis involing one quantitative variable in one population. ) A test of significance tests a specific hypothesis by using sample data to decide on the validity of the hypothesis. If, under a given assumption, the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct.