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

ID: 3315511 • Letter: 2

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

: Find the z-test statistic for the hypothesis in Step 1. Round your answer to two decimal points: (include the sign

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0

Hypothesis test results:

Hence,

z = - 2.31

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 36 136 152 407 -0.10875849 0.047122305 -2.3080045 0.021