BED NETS TO REDUCE MALARIA In a randomized controlled trial in Kenya, bed nets treated with insecticide were tested as a way to reduce malaria. In the study, subjects are divided into two groups. In group #1, among 343 infants using bed nets, 15 developed malaria. In group #2, among 294 infants not using bed nets, 27 developed malaria. Use a 0.05 significance level to test the claim that infants using bed nets develop less malaria than infants who do not use bed nets. Use the following steps: Step 1. Write the Claim, Null Hypothesis and Alternative Hypothesis in symbols. Step 2. Identify a Step 3. Check and identify the requirements for this test. Step 4. State the type of test (right-tail, left-tail, or two-tail test) and use the given test statistic to find the P-value (use the provided Standard Normal Distribution table, aka z-table, without rounding) Test statistic z = -2.44 Step 5. State your decision to either reject or fail to reject the null hypothesis and why. Step 6. Consider the claim and your decision and state the conclusion in the context of the problem. Step 7. Considering your conclusion from part 6, do bed nets seem to be effective in preventing malaria? Why or why not?

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POSITIVE z Scores
NEGATIVE z Scores
TABLE A-2 (continued) Cumulative Area from the LEFT
TABLE A-2 Standard Normal (2) Distribution: Cumulative Area from the LEFT
10 and
2.575
|る
國
器
N
西
三 勇
Transcribed Image Text:POSITIVE z Scores NEGATIVE z Scores TABLE A-2 (continued) Cumulative Area from the LEFT TABLE A-2 Standard Normal (2) Distribution: Cumulative Area from the LEFT 10 and 2.575 |る 國 器 N 西 三 勇
BED NETS TO REDUCE MALARIA
In a randomized controlled trial in Kenya, bed nets treated with insecticide were tested as a
way to reduce malaria. In the study, subjects are divided into two groups. In group #1, among
343 infants using bed nets, 15 developed malaria. In group #2, among 294 infants not using bed
nets, 27 developed malaria. Use a 0.05 significance level to test the claim that infants using bed
nets develop less malaria than infants who do not use bed nets.
Use the following steps:
Step 1. Write the Claim, Null Hypothesis and Alternative Hypothesis in symbols.
Step 2. Identify a
Step 3. Check and identify the requirements for this test.
Step 4. State the type of test (right-tail, left-tail, or two-tail test) and use the given test statistic
to find the P-value (use the provided Standard Normal Distribution table, aka z-table, without
rounding)
Test statistic z = -2.44
Step 5. State your decision to either reject or fail to reject the null hypothesis and why.
Step 6. Consider the claim and your decision and state the conclusion in the context of the
problem.
Step 7. Considering your conclusion from part 6, do bed nets seem to be effective in preventing
malaria? Why or why not?
Transcribed Image Text:BED NETS TO REDUCE MALARIA In a randomized controlled trial in Kenya, bed nets treated with insecticide were tested as a way to reduce malaria. In the study, subjects are divided into two groups. In group #1, among 343 infants using bed nets, 15 developed malaria. In group #2, among 294 infants not using bed nets, 27 developed malaria. Use a 0.05 significance level to test the claim that infants using bed nets develop less malaria than infants who do not use bed nets. Use the following steps: Step 1. Write the Claim, Null Hypothesis and Alternative Hypothesis in symbols. Step 2. Identify a Step 3. Check and identify the requirements for this test. Step 4. State the type of test (right-tail, left-tail, or two-tail test) and use the given test statistic to find the P-value (use the provided Standard Normal Distribution table, aka z-table, without rounding) Test statistic z = -2.44 Step 5. State your decision to either reject or fail to reject the null hypothesis and why. Step 6. Consider the claim and your decision and state the conclusion in the context of the problem. Step 7. Considering your conclusion from part 6, do bed nets seem to be effective in preventing malaria? Why or why not?
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