Conduct a test at the α=0.05 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 2p1>p2. The sample data are x1=118, n1=254,x2=134, and n2=303. (a) Choose the correct null and alternative hypotheses below.
A.
H0: p1=p2 Versus H1: p1
B.
H0: p1=p2 versus H1: p1≠p2
C.
H0: p1=0 versus H1: p1≠0
D.
H0: p1=p2 Versus H1: p1>p2
The statistical software output for this problem is:
Hence,
Hypotheses:
H0: p1 = p2 Versus H1: p1 > p2
Option D is correct.
Test statistic = 0.53
P - value = 0.299
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