In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 310 infants using bednets, 10 developed malaria. Among 286 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 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. OB. Ho: P₁ P2 H₁: P₁ P₂ OE. Ho: P₁ P₂ H₁: P₁
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 310 infants using bednets, 10 developed malaria. Among 286 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 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. OB. Ho: P₁ P2 H₁: P₁ P₂ OE. Ho: P₁ P₂ H₁: P₁
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 310 infants using bednets, 10 developed malaria. Among 286 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 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.
O A.
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?
O B. Ho: P₁ = P2
H₁: P₁ P2
O E. Ho: P₁ P2
H₁: P₁ <P2
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
claim that the incidence of malaria is lower for infants using bednets, so the bednets
Since the P-value is
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 0.01 significance level to construct a confidence interval.
< (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
to be a difference between the proportions.
G
evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets
to be effective.
OC. Ho: P₁ P₂
H₁: P₁ P2
OF. Ho: P₁ P₂
H₁: P₁ <P2
to be effective. According to the confidence interval, there is
evidence to support the
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