In a randomized controlled trial, insecticide-treated bed nets were tested as a

Question

In a randomized controlled trial, insecticide-treated bed nets were tested as a way to reduce malaria. Among

317

infants using bed nets,

15

developed malaria. Among

295

infants not using bed nets,

31

developed malaria. Use a

0.01

significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bed nets appear to be effective? Conduct the hypothesis test by using the results from the given display.

Difference equals= p(1) p(2)

Estimate for difference: 0.0577661

99 % upper bound for difference: 0.00246115

Test for

differenceequals=0

(vs

less than< 0):

Z equals=2.71

P-Value equals=0.003

What are the null and alternative hypotheses?

Identify the test statistic. (round two decimal places)

Identify the P-value. (round three decimal places)

What is the conclusion for this test?

Explanation / Answer

1) null and alternative hypotheses:

null hypothesis: p1-p2>=0

alternate hypothesis: p1-p2<0

2) test statistic =-2.71

p value=0.003

as p vlaue is less then 0.01 level of significance ; we can reject null hypothesis

we have sufficient evidence to conclude that the incidence of malaria is lower for infants using bednets

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