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Inferential statistics used in hypothesis tests

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What inferential statistic would you choose to test the following hypotheses? Briefly explain your answers.

There is a positive relationship between the patient's rating of pain using the Visual Analog scale and the amount of drug administered to the patient.

The annual income among male and female nurses differs significantly

There is a significant difference in the length of hospitalization among patients admitted from nursing homes, rehabilitation facilities and home

There is a significant differance between the drug calculation test scores of students who received computerized instuction versus those who received traditional instruction

GRE scores, age, and undergraduate grade point averages are predictors of academic performance in graduate school.

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Inferential statistics used in hypothesis tests

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What inferential statistic would you choose to test the following hypotheses? Briefly explain your answers.

In each of the cases below, an experimenter calculates a function of the inferential statistic. This function has a known distribution if the null hypothesis is true and is sometimes called the "test statistic". The experimenter evaluates the observed value of the test statistic and if it seems to be a typical observation from the known distribution, there is no reason to doubt the null hypothesis. If the test statistic has a value that one is unlikely to see from the known distribution, it is unlikely that the null hypothesis is true and the experimenter would reject it in favor of the alternative.

There is a positive relationship between the patient's rating of pain using the Visual Analog scale and the amount of ...

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