Using The Single Sample T Test Essay

1138 Words Jul 24th, 2016 5 Pages
For this second mini-research proposal this writer will be using the single sample t-test. There are two benefits to using the t-test, the first one is that it indicates the value for the population standard error of the mean, σM also it allows to compare with other populations over time (Sukal, 2013). The statistical notation or formula for a single sample t-test is the following: t =
M−μM
SEM

(Sukal, 2013, Formula 5.2).
This writer’s question of interest is the following: Are people with developmental disabilities prone to medical malpractice than the average population? This question is appropriate for the single sample t-test, as this writer would be interested in conducting a comparison between people with developmental disabilities and the general population. The single sample t-test, tests whether a sample is likely to belong to a specified population by using the estimated standard error of the mean (Sukal, 2013). In this case, the alternative hypothesis would be that there is no difference between people with developmental disabilities and the general population in terms of medical malpractice. The null hypothesis would be that people with developmental disabilities and the general population are both prone to medical malpractice.
The types of errors that could occur, are more likely found when the sample size is small. For instance, the higher the sample size the closer the t distribution is to a z distribution (Sukal, 2013). Therefore, the larger…

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