PG STAT 531 Lecture 6 Test of Significance, z Test

The document summarizes key concepts related to tests of significance. It discusses: 1) The difference between population parameters and sample statistics. Parameters describe the population while statistics describe samples. 2) The goal of tests of significance is to determine if an observed difference between a sample and population statistic is statistically significant or likely due to chance. Common tests include z-tests, t-tests, chi-square tests, and F-tests. 3) All tests of significance involve a null hypothesis (H0), which is tested against an alternative hypothesis (Ha). The outcome is either rejecting or failing to reject the null hypothesis based on a significance level like alpha=0.05. 4) Type I