Conduct a test at the

alpha

equals0.05

level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether

p 1 greater than p 2

.

The sample data are

x 1 equals 129

,

n 1 equals 251

,

x 2 equals 138

,

and

n 2 equals 307

.