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18 February, 03:17

In a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Want to use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Find the test statistic

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  1. 18 February, 04:08
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    Step-by-step explanation:

    Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.

    H0: p1=p2

    H1: p1
    (one tailed test)

    p1 = 15/343:p2 = 27/294:

    Difference 4.813 %

    95% CI 0.9160% to 9.0217%

    Chi-squared 5.947

    DF 1

    Significance level P = 0.0073

    Since p <0.01 we reject null hypothesis.
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