a. What are the null and alternative hypotheses? Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below. OA. Ho: P₁ = P2 H₁: P₁ P₂ O D. Ho: P1 = P2 H₁: P₁ P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? OB. Ho: P₁ P2 H₁: P₁

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Chapter4: Equations Of Linear Functions
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In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 321 infants using bednets, 13 developed malaria. Among 254 infants not
using bednets, 30 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?
a. What are the null and alternative hypotheses?
Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below.
OB.
O A. Ho: P₁
H₁: P₁
P2
P2
D. Ho: P₁ = P2
H₁: P₁ P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
What is the conclusion for this test?
Ho: P₁ P2
H₁: P₁ P2
Since the P-value is
O E. Ho: P₁ P2
H₁: P₁ = P₂
OC.
Ho: P₁
H₁: P₁
P2
P₂
OF. Ho: P1 P2
H₁: P₁ P2
the significance level α,
the null hypothesis.
b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 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 321 infants using bednets, 13 developed malaria. Among 254 infants not using bednets, 30 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? a. What are the null and alternative hypotheses? Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below. OB. O A. Ho: P₁ H₁: P₁ P2 P2 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? Ho: P₁ P2 H₁: P₁ P2 Since the P-value is O E. Ho: P₁ P2 H₁: P₁ = P₂ OC. Ho: P₁ H₁: P₁ P2 P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level α, the null hypothesis. b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval. <(P₁-P₂) < (Round to three decimal places as needed.)
(Round to three decimal places as needed.)
What is the conclusion for this test?
the significance level a,
the null hypothesis.
b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
< (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
Since the P-value is
Since the confidence interval
zero, there
c. Based on the results, do the bednets appear to be effective?
According to the hypothesis test, there is
effective. According to the confidence interval, there is
to be effective.
to be a difference between the proportions.
evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets
evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets
to be
Transcribed Image Text:(Round to three decimal places as needed.) What is the conclusion for this test? the significance level a, the null hypothesis. b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval. < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion for the confidence interval? Since the P-value is Since the confidence interval zero, there c. Based on the results, do the bednets appear to be effective? According to the hypothesis test, there is effective. According to the confidence interval, there is to be effective. to be a difference between the proportions. evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets to be
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