A new AIDS prevention drug was tried on a group of 224 HIV positive patients. Forty-five patients developed AIDS after four years. In a control group of 224 HIV positive patients, 68 developed AIDS after four years. We want to test whether the method of treatment reduces the proportion of patients that develop AIDS after four years or if the proportions of the treated group and the untreated group stay the same. You will need to specify the appropriate hypothesis, use prop.test in R and preform hypothesis testing and state your conclusion in the given context. If you reject the null write Since p-value is [write the value of your p-value] and is less than [write the value of alpha in percent] we reject the null hypothesis at [write the value of alpha]% significance level. That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the context of the problem] If you fail to reject the null write Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level. That is, there is not sufficient evidence in the data to reject [write down null in the context of the problem]

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A new AIDS prevention drug was tried on a group of 224 HIV positive patients. Forty-five patients developed AIDS after four years. In a control group of 224 HIV positive patients, 68 developed AIDS after four years. We want to test whether the method of treatment reduces the proportion of patients that develop AIDS after four years or if the proportions of the treated group and the untreated group stay the same.

You will need to specify the appropriate hypothesis, use prop.test in R and preform hypothesis testing and state your conclusion in the given context.

If you reject the null write
Since p-value is [write the value of your p-value] and is less than [write the value of alpha in
percent] we reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the
context of the problem]

If you fail to reject the null write
Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in
percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is not sufficient evidence in the data to reject [write down null in the context of the
problem]

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