Statistical Sciences 2141A/B Lecture Notes - Lecture 25: Null Hypothesis, Confidence Interval, Statistical Inference

• School: Western University
• Department: Statistical Sciences
• Course: Statistical Sciences 2141A/B
• Professor: Joe Raaymakers

Document Summary

A parameter can be estimated from sample data by a single number (a point estimate) or an entire interval of plausible values (a confidence interval) Often the objective of an experiment is not to estimate a parameter, but to decide which of two contradictory claims about the parameter is true. This comprises the part of statistical inference called hypothesis testing. A statistical hypothesis is a claim or assertion either about the value of a single parameter, about the values of several parameters, or about the form of an entire probability distribution. In any hypothesis-testing problem, there are two contradictory hypotheses under consideration (cid:894)e. g. , o(cid:374)e h(cid:455)pothesis (cid:373)ight (cid:271)e the (cid:272)lai(cid:373) = (cid:1004). 75 a(cid:374)d the othe(cid:396) 0. 75) The objective is to decide, based on sample information, which of the two hypotheses is correct. One claim is that the accused individual is innocent (not guilty) In the judicial system, this claim is initially believed to be true.