Question

Conduct a test at the alpha equals 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 p 1 greater than p 2. The sample data are x 1 equals 125​, n 1 equals 253​, x 2 equals 135​, and n 2 equals 309.

Answer 1

2) Using P-value approach

P-value = P(Z > z)

=P(Z > 1.353)

= 1- P(Z< 1.353)

= 1- 0.9120 .......from normal table

= 0.0880

P-value = 0.0880

Reject Ho if p-value < alpha

alpha= 0.01

P-value =0.0880 > alpha= 0.01

Do not reject Ho

we may conclude that the data do not provide sufficient evidence to support the claim that p1 is greater than p2