Color blindness, or dyschromatopsia, is a form of genetic deficiency in color pe
ID: 3312104 • Letter: C
Question
Color blindness, or dyschromatopsia, is a form of genetic deficiency in color perception. The condition is much more prevalent among males than females, pointing to a genetic connection with the X chromosome. The frequency of dyschromatopsia in the Caucasian American male population is about 8%. However, it is thought that this proportion might be smaller among males of other ethnicities. We want to estimate the proportion of Asian American males who are color-blind. How large a sample size do we need in order to obtain a 95% confidence interval with a margin of error no greater than 2%, or 0.02? Use 0.1 for p*. Give your answer as a whole number. Fill in the blank_____
Explanation / Answer
Sample size = Z2 * p(1-p) / E2 , where E is margin of error
sample size n = 1.962 * 0.1 * 0.9 / 0.022
= 864.36
Sample size = 865 (Rounded up to nearest integer)