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# Activity_11 - Georgia Southern University BUSA 3131 Business Statistics Fall 2011 Activity 11 Name When testing hypotheses only one of the

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Georgia Southern University BUSA 3131 Business Statistics Fall 2011Activity 11 Name: __ _____________ When testing hypotheses, only one of the hypotheses can correctly state the outcome of the sample test. Usually when comparing the sample mean (or proportion) values to the hypothesized value stated in the null and alternative hypothesis, the values are not exactly the same. But they are often so close numerically that researchers have difficulty deciding if the values are sufficiently different from the hypothesized value to justify rejecting the null hypothesis. To simplify the decision process, statisticians have developed simple decision rules that have now been in use for centuries. Simple numerical calculations define when a test result is sufficiently different from the hypothesized value to warrant rejecting the null hypothesis. 1. Substituting a z value for the sample test statistic Samples are designed to gain understanding of some population by using data extracted from a random sample of the population or populations of interest to the researcher. Sometimes researchers are interested in mean values, other times they are interested in comparing proportions or percentages, and sometimes they are interested in knowing whether there is some difference between two or more populations. Whether the researcher is trying to describe a mean, proportion or difference, the result of the sample will produce a value that statisticians call the test statistic . For example, suppose I am interested in studying the grades of students in statistics classes. I would probably be most interested in learning about the average or mean grades. So in this study, the test statistic would be a mean from the sample. The symbol for the mean of a

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## This note was uploaded on 01/30/2012 for the course BUSA 3131 taught by Professor Watson during the Fall '11 term at Georgia Southern University .

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Activity_11 - Georgia Southern University BUSA 3131 Business Statistics Fall 2011 Activity 11 Name When testing hypotheses only one of the

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