In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 305 infants using bednets, 14 developed malaria. Among 259 infants not using bednets, 24 developed malaria. Use a 0.05 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? H₁: P1 P2 Identify the test statistic. -2.21 (Round to two decimal places as needed.) Identify the P-value. H₁: P1 P2 0.014 (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. H₁: P1 P2 b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval. (01-02) (Round to three decimal places as needed.)

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In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 305 infants using bednets, 14 developed malaria. Among 259 infants not
using bednets, 24 developed malaria. Use a 0.05 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?
H₁: P1 P2
Identify the test statistic.
-2.21 (Round to two decimal places as needed.)
Identify the P-value.
H₁: P1 P2
0.014 (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.
H₁: P1 P2
b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
(01-02)
(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 305 infants using bednets, 14 developed malaria. Among 259 infants not using bednets, 24 developed malaria. Use a 0.05 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? H₁: P1 P2 Identify the test statistic. -2.21 (Round to two decimal places as needed.) Identify the P-value. H₁: P1 P2 0.014 (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. H₁: P1 P2 b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval. (01-02) (Round to three decimal places as needed.)
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