Preliminary results from a test of the XSORT method of gender selection involved 14 couples who gave birth to 13 girls and 1 boy. Test Statistic - Formulas Test statistic for proportion Test statistic for meanĮxample: Let’s again consider the claim that the XSORT method of gender selection increases the likelihood of having a baby girl. Test Statistic The test statistic is a value used in making a decision about the null hypothesis, and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true. Follow the three-step procedure outlined in Figure 8-2 to identify the null hypothesis and the alternative hypothesis. Note about Forming Your Own Claims (Hypotheses)Įxample: Consider the claim that the mean weight of airline passengers (including carry-on baggage) is more than 195 lb (the current value used by the Federal Aviation Administration = 195 lb). If you are conducting a study and want to use a hypothesis test to support your claim, the claim must be worded so that it becomes the alternative hypothesis. The symbolic form of the alternative hypothesis must use one of these symbols: . The alternative hypothesis (denoted by H1 or Ha or HA) is the statement that the parameter has a value that somehow differs from the null hypothesis. The null hypothesis (denoted by H0) is a statement that the value of a population parameter (such as proportion, mean, or standard deviation) is equalto some claimed value. Rare Event Rule for Inferential Statistics If, under a given assumption, the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct.
How to calculate the value of the test statistic, given a claim and sample data.
Lecture Slides Elementary StatisticsEleventh Edition and the Triola Statistics Series by Mario F.
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