5 For the last part it gives the options of greater than or

5.

For the last part it gives the options of greater than or less than -----reject or fail to reject ------- insufficient or sufficient and the bednets appear or do not appear to be effective

In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 348 infants using bednets, 22 developed malaria. Among 288 infants not using bednets: 32 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. What are the null and alternative hypotheses? Identify the test statistic. (Type an integer or decimal rounded to two decimal places as needed.) Identify the P-vahie. (Type an integer or decimal rounded to three decimal places as needed.) What is the conclusion for this test? The P - value is the significances level, alapa, so the null hypothesis. There is evidence to support the claim that the incidence of malaria is lower for infants using bednets. The bednets to be effective.

Solution

Test For Significance of Difference Of Proportion
Null Hypothesis, There Is No Significance between them Ho: p1 >= p2
Alternate Hypothesis, There Is Significance between them H1: p1 < p2
Test Statistic
Sample 1 : X1 =22, n1 =348, P1= X1/n1=0.063
Sample 2 : X2 =32, n2 =288, P2= X2/n2=0.111
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.085
Q^ Value For Proportion= 1-P^=0.915
we use Test Statistic (Z) =   (P1-P2)/?(P^Q^(1/n1+1/n2))
Zo =(0.063-0.111)/Sqrt((0.085*0.915(1/348+1/288))
Zo =-2.157
| Zo | =2.157
Critical Value
The Value of |Z ?| at LOS 0.01% is 2.326
We got |Zo| =2.157 & | Z ? | =2.326
Make Decision
Hence Value of |Zo | < | Z ? | and Here we Do not Reject Ho
P-Value: Left Tail - Ha : ( P < -2.1569 ) = 0.01551
Hence Value of P0.01 < 0.01551,Here We Do not Reject Ho

Answers)

a) Ho: p1 >= p2 ; H1: p1 < p2
b) -2.16
c) 0.016
d) Greater, Failed TO reject Ho, No, Morea