20.30 (EX) Sickle-cell and malaria 1/5: Sickle-cell anemia is a hereditary chron

Question

20.30 (EX) Sickle-cell and malaria 1/5: Sickle-cell anemia is a hereditary chronic blood disease that is extremely severe when an individual carries two copies of the defective gene. It is particularly common in countries plagued by malaria, a parasitic infection transmitted by mosquitoes. A study in Africa tested 543 children for the sickle-cell gene and also for malaria. In all, 136 of the children had the sickle-cell gene, and 36 of these had heavy malaria infections. The other 407 children lacked the sickle-cell gene, and 152 of them had heavy malaria infections. With such a large sample, the large sample and plus four method will give similar results. Give a 95% large sample confidence interval for the proportion of all children in the population studied who have the sickle-cell gene.

0.2505 ± 0.0382

0.2505 ± 0.0306

0.2799 ± 0.0378

0.2505 ± 0.0364

0.2505 ± 0.0382

0.2505 ± 0.0306

0.2799 ± 0.0378

0.2505 ± 0.0364

Explanation / Answer

P=136/543=

for 95% confidence the z value is 1.96

N is 543

thus answer is :

Margin of error =z*sqrt(p*(1-p)/N)=1.96*sqrt(0.2505*(1-0.2505)/543)=0.0364

thus answer is D

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