Question

In: Statistics and Probability

A researcher wants to estimate the impact prenatal care during pregnancy can have on anemia rates...

A researcher wants to estimate the impact prenatal care during pregnancy can have on anemia rates in pregnant mothers by conducting a retrospective case-control study on new moms. If the prevalence of anemia is approximately 39.7%, how many individuals should the researcher recruit to participate in the study if the researcher wants to be 95% confident that the margin of error is no more than 3.0%?

[1] n total = 2044; n control group = 1,022; n case group = 1,022

[2] n total = 2044; n control group = 812; n case group = 1,232

[3] n total = 4088; n control group = 1,623; n case group = 2,465

[4] n total = 4088; n control group = 2,044; n case group = 2,044

Solutions

Expert Solution

sample proportion ,   p̂ =    0.397                          
sampling error ,    E =   0.03                          
Confidence Level ,   CL=   0.95                          
                                  
alpha =   1-CL =   0.05                          
Z value =    Zα/2 =    1.960   [excel formula =normsinv(α/2)]                      
                                  
Sample Size,n = (Z / E)² * p̂ * (1-p̂) = (   1.960   /   0.03   ) ² *   0.40   * ( 1 -   0.40   ) =    1021.8
                                  
                                  
so,Sample Size required=       1022                          

[1] n total = 2044; n control group = 1,022; n case group = 1,022


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