“In a randomized controlled trial, insecticide-treated bednets were tested as a

Question

“In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 320 infants using bednets, 10 developed malaria. Among 279 infants not using bednets, 24 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 bednets appear to be effective? Conduct the hypothesis test by using the results from the given display.” solve for the test statistic, p, and what is the conclusion result?

Explanation / Answer

Null, Ho: p1 = p2
Alternate, incidence of malaria is lower for infants using bednets H1: p1 < p2
Test Statistic
Sample 1 : X1 =10, n1 =320, P1= X1/n1=0.031
Sample 2 : X2 =24, n2 =279, P2= X2/n2=0.086
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.057
Q^ Value For Proportion= 1-P^=0.943
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.031-0.086)/Sqrt((0.057*0.943(1/320+1/279))
Zo =-2.89
| Zo | =2.89
Critical Value
The Value of |Z | at LOS 0.01% is 2.326
We got |Zo| =2.89 & | Z | =2.326
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Left Tail - Ha : ( P < -2.8899 ) = 0.00193
Hence Value of P0.01 > 0.00193,Here we Reject Ho

We have evidence that the incidence of malaria is lower for infants using bednets

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.