In: Statistics and Probability
Conduct a test at the α equals=0.10 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=118, n1=249, x2=142, and n2=315.
Using the P-value approach: with z = 0.547 The p-value is p = 0.2923, and since p = 0.2923 ≥ 0.1, it is concluded that the null hypothesis is not rejected.
Conclusion
It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population proportion p1 is greater than p2, at the 0.1 significance level.