In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 309 infants using bednets, 12 developed malaria. Among 298 infants not using bednets, 35 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? 11. P1 P2 1 P1 P2 11 P1 P2 D. Ho P1 P2 H₁: P1 P2 OE. Ho: P1 P2 H₁: P1 P2 OF. Ho P1 P2 H₁: P1 P2 Identify the test statistic. -3.62 (Round to two decimal places as needed.) Identify the P-value. 0.000 (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is less than the significance level α, reject the null hypothesis. b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.01 significance level to construct a confidence interval. <(P1-P2)< (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 309 infants
using bednets, 12 developed malaria. Among 298 infants not using bednets, 35 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?
1 P1 P2
11 P1 P2
11- P1 P2
D. Ho P1 P2
H₁: P1 P2
OE. Ho P1 P2
H₁ P1 P2
OF. Ho P1 P2
H₁ P1 P2
Identify the test statistic.
- 3.62 (Round to two decimal places as needed.)
Identify the P-value.
0.000 (Round to three decimal places as needed.)
What is the conclusion for this test?
Since the P-value is less than the significance level α,
reject
the null hypothesis.
b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.01 significance
level to construct a confidence interval.
<
(P1 - P2)
(Round to three decimal places as needed.)
Transcribed Image Text:In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 309 infants using bednets, 12 developed malaria. Among 298 infants not using bednets, 35 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? 1 P1 P2 11 P1 P2 11- P1 P2 D. Ho P1 P2 H₁: P1 P2 OE. Ho P1 P2 H₁ P1 P2 OF. Ho P1 P2 H₁ P1 P2 Identify the test statistic. - 3.62 (Round to two decimal places as needed.) Identify the P-value. 0.000 (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is less than the significance level α, reject the null hypothesis. b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.01 significance level to construct a confidence interval. < (P1 - P2) (Round to three decimal places as needed.)
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