Math  /  Data & Statistics

QuestionConduct a test at the α=0.05\alpha=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 p1>p2p_{1}>p_{2}. The sample data are x1=129,n1=241,x2=135x_{1}=129, n_{1}=241, x_{2}=135, and n2=312n_{2}=312. (a) Choose the correct null and alternative hypotheses below. A. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1>p2H_{1}: p_{1}>p_{2} B. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1p2H_{1}: p_{1} \neq p_{2} C. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1<p2H_{1}: p_{1}<p_{2} D. H0:p1=0H_{0}: p_{1}=0 versus H1:p10H_{1}: p_{1} \neq 0

Studdy Solution
The null hypothesis H0:p1=p2H_0: p_1 = p_2 is rejected at the α=0.05\alpha = 0.05 level because the P-value 0.0120.012 is less than 0.050.05.
Thus, there is sufficient evidence to support that p1>p2p_1 > p_2.

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