Question

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

318318

infants using?bednets,

1414

developed malaria. Among

257257

infants not using? bednets,

2626

developed malaria. Use a

0.010.01

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.

Differenceequals=?p(1)minus??p(2)

Estimate for? difference: negative 0.0571422?0.0571422

9999?%

upper bound for? difference: negative 0.00034692?0.00034692Test for

differenceequals=0

?(vs

less than<?0):

Zequals=negative 2.68?2.68???

?P-Valueequals=0.0040.004

What are the null and alternative? hypotheses?

A.

Upper H 0H0?:

p 1p1not equals?p 2p2

Upper H 1H1?:

p 1p1equals=p 2p2

B.

Upper H 0H0?:

p 1p1equals=p 2p2

Upper H 1H1?:

p 1p1greater than>p 2p2

C.

Upper H 0H0?:

p 1p1equals=p 2p2

Upper H 1H1?:

p 1p1not equals?p 2p2

D.

Upper H 0H0?:

p 1p1greater than or equals?p 2p2

Upper H 1H1?:

p 1p1less than<p 2p2

E.

Upper H 0H0?:

p 1p1equals=p 2p2

Upper H 1H1?:

p 1p1less than<p 2p2

F.

Upper H 0H0?:

p 1p1less than or equals?p 2p2

Upper H 1H1?:

p 1p1greater than>p 2p2

Answer 1

let p1 be the proportion of infants using the bednets and p2 be the proportion of infants which are not using bednets.

The claim is that "the incidence of malaria is lower for infants using bednets" , i.e. we have to check whether the p1 (proportion of infants using bednets) is less than p2(not using bednets)

so,

Null hypothesis

Alternate hypothesis

If your question is assuming p1 as proportion of infants not using the bednet and p2 as proportion of infants using bednets, then the alternate hypothesis will be reversed.

Null hypothesis

Alternate hypothesis