Five Steps in a Hypothesis Test
Pulse rates for n = 35 women are available. Here are Minitab results for our hypothesis test:
Lesson 12: Hypothesis Testing for a Population Mean
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Hypothesis testing - Handbook of Biological Statistics
where the observed sample mean difference, μ0 = value specified in null hypothesis, sd = standard deviation of the differences in the sample measurements and n = sample size. For instance, if we wanted to test for a difference in mean SAT Math and mean SAT Verbal scores, we would random sample subjects, record their SATM and SATV scores in two separate columns, then create a third column that contained the differences between these scores. Then the sample mean and sample standard deviation would be those that were calculated on this column of differences.
Notice that the top part of the statistic is the difference between the sample mean and the null hypothesis. The bottom part of the calculation is the standard error of the mean.
Logic of Hypothesis Testing - Free Statistics Book
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Often, the people who claim to avoid hypothesis testing will say something like "the 95% confidence interval of 25.9 to 47.4% does not include 50%, so we conclude that the plant extract significantly changed the sex ratio." This is a clumsy and roundabout form of hypothesis testing, and they might as well admit it and report the P value.
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The null hypothesis is an hypothesis about a population parameter
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