Conduct a test at the alpha

equals

=0.01

0.01 level of significance by determining (a) the null and alternativehypotheses, (b) the teststatistic, and(c) theP-value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether p 1 greater than p 2

p1>p2. The sample data are x 1 equals 127

x1=127, n 1 equals 245

n1=245, x 2 equals 143

x2=143, and n 2 equals 314

n2=314.

(a) Choose the correct null and alternative hypotheses below.

A.

Upper H 0 : p 1 equals p 2

H0:p1=p2 versus Upper H 1 : p 1 less than p 2

H1:p1

B.

Upper H 0 : p 1 equals 0

H0:p1=0 versus Upper H 1 : p 1 not equals 0

H1:p10

C.

Upper H 0 : p 1 equals p 2

H0:p1=p2 versus Upper H 1 : p 1 greater than p 2

H1:p1>p2

Your answer is correct.

D.

Upper H 0 : p 1 equals p 2

H0:p1=p2 versus Upper H 1 : p 1 not equals p 2

H1:p1p2

(b) Determine the test statistic.

z0equals

=

nothing

(Round to two decimal places asneeded.)