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.
-$$\mathrm { x } _ { 1 } = 11 , \mathrm { n } _ { 1 } = 200 , \mathrm { x } _ { 2 } = 8 , \mathrm { n } _ { 2 } = 100 ; \mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } , \alpha = 0.01$$
A)$0.3844$
B) $0.2005$
C) $0.4010$
D) $0.1011$

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.
-$$\mathrm { x } _ { 1 } = 11 , \mathrm { n } _ { 1 } = 200 , \mathrm { x } _ { 2 } = 8 , \mathrm { n } _ { 2 } = 100 ; \mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } , \alpha = 0.01$$  
A)$0.3844$
B) $0.2005$
C) $0.4010$
D) $0.1011$

Quizplus · Accepted Answer

The P-value is calculated using the standard normal distribution for the two-proportions z-test, and it corresponds to the probability of observing a test statistic as extreme as the one calculated. Here, the P-value is approximately 0.4010.

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