In a clinical trial, 50 patients who received a new medication are randomly selected. It was...

In a clinical trial, 50 patients who received a new medication are randomly selected. It was found that 10 of them suffered serious side effects from this new medication. Let p denote the population proportion of patients suffered serious side effects from this new medication.

Find the minimum sample size needed to estimate the population proportion p with 90% confidence such that the estimate is accurate within 0.04 of p.

Solutions

Expert Solution

sample proportion ,   p̂ =10/50 = 0.2
sampling error ,    E =   0.04
Confidence Level ,   CL=   0.90

alpha =   1-CL =   0.10
Z value =    Zα/2 =    1.645   [excel formula =normsinv(α/2)]

Sample Size,n = (Z / E)² * p̂ * (1-p̂) = (   1.645   /   0.04   ) ² *   0.20   * ( 1 -   0.20   ) =    270.55


so,Sample Size required=       271

orchestra answered 1 year ago

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