You are a graduate student in an M.D./Ph.D program, attempting a study of the efficacy of different HIV treatments. Viral load was measured in 15 HIV-positive patients, 7 of whom were under one treatment regime, and 8 under another (all measurements in 103 RNA copies per ml).              treatment 1:  18, 77, 70, 20, 8, 59, 86            treatment 2:  21, 8, 46, 39, 23, 19, 3, 31  a) Assuming that these data meet assumptions for a parametric test, what test would it be?State the appropriate null hypothesis for this test. b) Calculate the appropriate test statistic for this test. Do you reject or fail to reject the null? Show your work.  c) In truth, these data aren’t very normally distributed. Assume that transformation doesn’t help them meet the assumption. What alternate test should you perform in this situation?  d) State the null hypothesis for this test, and carry it out. Do you reject or fail to reject the null? Show your work.

Question
Asked May 13, 2019
  1. You are a graduate student in an M.D./Ph.D program, attempting a study of the efficacy of different HIV treatments. Viral load was measured in 15 HIV-positive patients, 7 of whom were under one treatment regime, and 8 under another (all measurements in 103 RNA copies per ml). 

 

            treatment 1:  18, 77, 70, 20, 8, 59, 86

            treatment 2:  21, 8, 46, 39, 23, 19, 3, 31

 

 

a) Assuming that these data meet assumptions for a parametric test, what test would it be?

State the appropriate null hypothesis for this test.

 

b) Calculate the appropriate test statistic for this test. Do you reject or fail to reject the null? Show your work.

 

 

c) In truth, these data aren’t very normally distributed. Assume that transformation doesn’t help them meet the assumption. What alternate test should you perform in this situation?

 

 

d) State the null hypothesis for this test, and carry it out. Do you reject or fail to reject the null? Show your work.

 

check_circleExpert Solution
Step 1

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

a)

To test the efficacy of two different HIV treatments, it is required to test whether there is any difference between the average viral loads between two groups.

The appropriate test is ‘two  independent sample t-test’.

The null and alternative hypotheses are:

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Step 2

The mean and standard deviation of the viral loads in two different sample are:

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Step 3

b)

The test statis...

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Math

Statistics

Hypothesis Testing

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