In: Statistics and Probability
Conduct a test at the a=0.01 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 p1>p2. The sample data are x1=116, n1= 252,x2=142, and n2=303.
a. Choose the correct null and alternative hypotheses below.
A. H0: p1= p 2 versus H1: p1 > p 2
B. H0 : p1=p2 versus H1: p1≠p2
C. H0: p1=p 2 versus H1: p1 < p 2
D. H0: p1=0 versus H1: p1 ≠ 0
b. the test statistic
c. The P-value