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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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Question

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.

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