Question

In: Statistics and Probability

Conduct a test at the α equals=0.10 level of significance by determining ​(a) the null and...

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.

Solutions

Expert Solution

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.


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