n a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 345 infants using bednets, 20 developed malaria. Among 293 infants not using bednets, 33 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display. Difference=p(1)−p(2) Estimate for difference: −0.0546570 95% upper bound for difference: −0.01085745 Test for difference=0 (vs <0): Z=−2.49 P-Value=0.006 Question content area bottom Part 1 What are the null and alternative hypotheses? A. H0: p1=p2 H1: p1>p2 B. H0: p1=p2 H1: p1≠p2 C. H0: p1≥p2 H1: p1p2 Part 2 Identify the test statistic. enter your response here (Type an integer or decimal rounded to two decimal places as needed.) Part 3 Identify the P-value. enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 4 What is the conclusion for this test? The P-value is ▼ less than greater than the significance level α, so ▼ reject fail to reject the null hypothesis. There is ▼ insufficient sufficient evidence to support the claim that the incidence of malaria is lower for infants using bednets. The bednets ▼ appear do not 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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Question

n a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 345 infants using bednets, 20 developed malaria. Among 293 infants not using bednets, 33 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display.
Difference=p(1)−p(2)
Estimate for difference: −0.0546570
95% upper bound for difference: −0.01085745
Test for difference=0 (vs <0): Z=−2.49 P-Value=0.006
Question content area bottom
Part 1
What are the null and alternative hypotheses?
A.
H0: p1=p2
H1: p1>p2
B.
H0: p1=p2
H1: p1≠p2
C.
H0: p1≥p2
H1: p1<p2
D.
H0: p1=p2
H1: p1<p2
E.
H0: p1≠p2
H1: p1=p2
F.
H0: p1≤p2
H1: p1>p2
Part 2
Identify the test statistic.
enter your response here
(Type an integer or decimal rounded to two decimal places as needed.)
Part 3
Identify the P-value.
enter your response here
(Type an integer or decimal rounded to three decimal places as needed.)
Part 4
What is the conclusion for this test?
The P-value is
▼
less than
greater than
the significance level α, so
▼
reject
fail to reject
the null hypothesis. There is
▼
insufficient
sufficient
evidence to support the claim that the incidence of malaria is lower for infants using bednets. The bednets
▼
appear
do not appear
to be effective.