In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 325 infants using bednets, 16 developed malaria. Among 295 infants not using bednets, 33 developed malaria. Use a 0.01 significance level 1 test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 325 infants using bednets, 16 developed malaria. Among 295 infants not using bednets, 33 developed malaria.
Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets.
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. Based on the results, do the bednets appear to be effective?
a. What are the pull and alternative hypotheses?
Let the ants asing berhak berry and let the entants pot using bodnets be sample 2. Choose the correst hypotheses below.
UA. HU
50. P₁ = P
Identify the test statistis,
-2.89 (Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
da. Pa
Ho: P₁ = P₂
H₁: P₁ > P
H₂0₂
Transcribed Image Text:In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 325 infants using bednets, 16 developed malaria. Among 295 infants not using bednets, 33 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective? a. What are the pull and alternative hypotheses? Let the ants asing berhak berry and let the entants pot using bodnets be sample 2. Choose the correst hypotheses below. UA. HU 50. P₁ = P Identify the test statistis, -2.89 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) da. Pa Ho: P₁ = P₂ H₁: P₁ > P H₂0₂
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