A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-valuefor the hypothesis test.
-$\mathrm { x } _ { 1 } = 41 , \mathrm { n } _ { 1 } = 100 , \mathrm { x } _ { 2 } = 35 , \mathrm { n } _ { 2 } = 140 ; \mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { 1 } \mathrm { p } _ { 2 } , \alpha = 0.10$
A)$0.0086$
B) $0.4211$
C) $0.0043$
D) $0.0512$

Question

A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-valuefor the hypothesis test.
-$\mathrm { x } _ { 1 } = 41 , \mathrm { n } _ { 1 } = 100 , \mathrm { x } _ { 2 } = 35 , \mathrm { n } _ { 2 } = 140 ; \mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { 1 } > \mathrm { p } _ { 2 } , \alpha = 0.10$  
A)$0.0086$
B) $0.4211$
C) $0.0043$
D) $0.0512$

Quizplus · Accepted Answer

The correct P-value for the given two-proportions z-test, based on the provided sample data and the hypothesis test, is $0.0043$. This is calculated using the formula for the test statistic in a two-proportions z-test and then finding the corresponding P-value for the one-tailed test since the alternative hypothesis is directional ($p_1 > p_2$).

A Two-Proportions Z-Test Is to Be Performed Using the P-Value