3. Suppose researchers are interested in estimating the prevalence of HIV in a population of adolescent intravenous drug users determined to equal 9.4% in the population. In order to estimate the prevalence of the disease, the researchers need to randomly sample from the population of potential participants in their study. Suppose the researchers are able to randomly sample 127 participants, and find that 29 are co-infected with the diseases of interest. A) Can we approximate this distribution with the normal? Why or why not? B) Create a Z score for this sample. C) What is the probability of observing the sample that was collected?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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Answer part A-C
3. Suppose researchers are interested in estimating the prevalence of HIV in a population of
adolescent intravenous drug users determined to equal 9.4% in the population. In order to
estimate the prevalence of the disease, the researchers need to randomly sample from the
population of potential participants in their study. Suppose the researchers are able to
randomly sample 127 participants, and find that 29 are co-infected with the diseases of
interest.
A) Can we approximate this distribution with the normal? Why or why not?
B) Create a Z score for this sample.
C) What is the probability of observing the sample that was collected?
Transcribed Image Text:3. Suppose researchers are interested in estimating the prevalence of HIV in a population of adolescent intravenous drug users determined to equal 9.4% in the population. In order to estimate the prevalence of the disease, the researchers need to randomly sample from the population of potential participants in their study. Suppose the researchers are able to randomly sample 127 participants, and find that 29 are co-infected with the diseases of interest. A) Can we approximate this distribution with the normal? Why or why not? B) Create a Z score for this sample. C) What is the probability of observing the sample that was collected?
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