In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among333 infants using bednets,13 developed malaria. Among 255 infants not using bednets, 23 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? Identify the test statistic. nothing (Round to two decimal places as needed.) Identify the P-value. nothing (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is ▼ less than greater than the significance level alphaα, ▼ fail to reject 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 0.050.05 significance level to construct a confidence interval. nothingless than<left parenthesis p 1 minus p 2 right parenthesisp1−p2less than<nothing (Round to three decimal places as needed.) What is the conclusion for the confidence interval? Since the confidence interval ▼ does not contain contains zero, there ▼ does not appear appears to be a difference between the proportions. c. Based on the results, do the bednets appear to be effective? According to the hypothesis test, there is ▼ sufficient insufficient evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets ▼ appear do not appear to be effective. According to the confidence interval, there is ▼ sufficient insufficient evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets ▼ do not appear appear to be effective.
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among333 infants using bednets,13 developed malaria. Among 255 infants not using bednets, 23 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? Identify the test statistic. nothing (Round to two decimal places as needed.) Identify the P-value. nothing (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is ▼ less than greater than the significance level alphaα, ▼ fail to reject 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 0.050.05 significance level to construct a confidence interval. nothingless than<left parenthesis p 1 minus p 2 right parenthesisp1−p2less than<nothing (Round to three decimal places as needed.) What is the conclusion for the confidence interval? Since the confidence interval ▼ does not contain contains zero, there ▼ does not appear appears to be a difference between the proportions. c. Based on the results, do the bednets appear to be effective? According to the hypothesis test, there is ▼ sufficient insufficient evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets ▼ appear do not appear to be effective. According to the confidence interval, there is ▼ sufficient insufficient evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets ▼ do not appear appear to be effective.
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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In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among333 infants using bednets,13 developed malaria. Among 255 infants not using bednets, 23 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?
Identify the test statistic.
nothing
(Round to two decimal places as needed.)Identify the P-value.
nothing
(Round to three decimal places as needed.)What is the conclusion for this test?
Since the P-value is
the significance level
the null hypothesis.
▼
less than
greater than
alphaα,
▼
fail to reject
reject
b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a
0.050.05
significance level to construct a confidence interval.nothingless than<left parenthesis p 1 minus p 2 right parenthesisp1−p2less than<nothing
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
Since the confidence interval
zero, there
to be a difference between the proportions.
▼
does not contain
contains
▼
does not appear
appears
c. Based on the results, do the bednets appear to be effective?
According to the hypothesis test, there is
evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets
to be effective. According to the confidence interval, there is
evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets
to be effective.
▼
sufficient
insufficient
▼
appear
do not appear
▼
sufficient
insufficient
▼
do not appear
appear
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