MATH 321 Lecture Notes - Lecture 50: Simple Random Sample, Point Estimation, Statistical Hypothesis Testing

• School: Ball State University
• Department: Mathematical Sciences
• Course: MATH 321
• Professor: Drew Lazar

Document Summary

Recall: the best point estimate of p, the proportion of the population with a certain characteristic, is given by. Population proportion (2 of 24) provided that the following requirements are satisfied: 1. The sample is a simple random sample: np(1 p) 10, the sampled values are independent of each other. To test hypotheses regarding the population proportion, we can use the steps that follow, provided that: np0(1 p0) 10. Step 1: determine the null and alternative hypotheses. The hypotheses can be structured in one of three ways: Note: p0 is the assumed value of the population proportion. Step 2: select a level of significance, , depending on the seriousness of making a. Use table v to determine the critical value. Step 4: compare the critical value with the test statistic: By hand step 3: compute the test statistic. Technology step 3: use a statistical spreadsheet or calculator with statistical capabilities to obtain the p-value.