Stat individual Assignment (1).docx

That is the researcher concludes that the medications

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That is the researcher concludes that the medications are the same when in fact they are different. This error is potentially life threatening if the less effective medication is sold to the public instead of the more effective one. As you conduct your hypothesis tests, consider the risks of making type I and type II errors. If the consequences of making one type of error are more severe or costly than making the other type of error, then choose a level of significance and a power for the test that will reflect the relative severity of those consequences. ONE TAILED AND TWO TAILED TESTS
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One tailed or the two tailed probability be used to assess Mr. Bonds performance. That depends on the way the question is posed. If we are asking whether Mr. Bonds can tell the difference between shaken or stirred martinis, then we would conclude he could if he performed either much better than chance or much worse than chance. If he performed much worse than chance, we would conclude that he can tell the difference, by the does not know which is which. Therefore, since we are going to reject the null hypothesis if Mr. Bonds does either very well or very poorly, we will use a two tailed probability. On the other hand, if our question is whether Mr. Bonds is better than chance at determining whether a martini is shaken or stirred, we would use a one-tailed probability. What would the one-tailed probability is the probability of the right hand tail, it would be the probability and the null hypothesis would not be rejected. The null hypothesis for the two-tailed test is n=0.5. By contrast, the null hypothesis for the one tailed test is n< 0.5. Accordingly, we reject the two tailed hypothesis if the sample proportion deviates greatly from 0.5 in either direction. The one tailed hypothesis is rejected only if the sample proportion is much greater than 0.5. The alternative hypothesis in the two tailed test is n 0.5 . In the one tailed test it is n>0.5.
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You should always decide at the data. Statistical tests that compute one tailed probability before looking at the data. Statistical tests that compute one tailed probabilities are called one tailed tests: those that compute two tailed probabilities are called two tailed tests. Two tailed tests are much more common than one tailed tests in scientific research because an outcome signifying that something other than chance is operating is usually worth nothing. One tailed tests are appropriate when it is not important to distinguish between no effect and an effect in the unexpected direction. For example, consider an experiment designed to test the efficacy of a treatment for the common cold. The researcher would only be interested in whether the treatment was better than a placebo control. It would not be worth distinguishing between the case in which the treatment was worse than a placebo and the case in which it was the same because in both cases the drug would be worthless.
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