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Find the z-test statistic for the hypothesis. Round your answer to two decimal points The P-value is?

Find the z-test statistic for the hypothesis. Round your answer to two decimal points The P-value is?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Find the z-test statistic for the hypothesis. Round your answer to two decimal points

The P-value is?

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. O 0.2505 + 0.0382 O 0.2799 + 0.0378 O 0.2505 ± 0.0364 O 0.2505 +0.0306
Transcribed Image Text: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. O 0.2505 + 0.0382 O 0.2799 + 0.0378 O 0.2505 ± 0.0364 O 0.2505 +0.0306
20.30 (EX) Sickle-cell and malaria 2/5: Is there good evidence that the proportion of heavy malaria infections is lower among children with the sickle-cell gene? Does this support the notion that the sickle-cell gene provides some protection against malaria? Take p₁ and p2 to be the proportions with heavy malaria infections for children with and without the sickle-cell gene, respectively. The hypotheses to be tested are: O Ho: P1 P2, Ha: P1 = P2 O Ho: P1 P2, H₂: P1 P2 O Ho: P1 P2, Ha: P1 < P2 O Ho: P1 P2, H₂: P1 * P2
Transcribed Image Text:20.30 (EX) Sickle-cell and malaria 2/5: Is there good evidence that the proportion of heavy malaria infections is lower among children with the sickle-cell gene? Does this support the notion that the sickle-cell gene provides some protection against malaria? Take p₁ and p2 to be the proportions with heavy malaria infections for children with and without the sickle-cell gene, respectively. The hypotheses to be tested are: O Ho: P1 P2, Ha: P1 = P2 O Ho: P1 P2, H₂: P1 P2 O Ho: P1 P2, Ha: P1 < P2 O Ho: P1 P2, H₂: P1 * P2
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