When testing $$H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$$ , the observed value of the Z test statistic was found to be - 2.13. The p-value for this test is
A) 0.0166.
B) 0.0332.
C) 0.9668.
D) 0.9834.

Question

Quizplus · Accepted Answer

The p-value is calculated as 2 times the probability of Z being less than -2.13, which is approximately 0.0166. Therefore, the p-value is 0.0332.

When Testing H0:π1−π2=0 versus H1:π1−π2≠0H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0H0​:π1​−π2​=0 versus H1​:π1​−π2​=0

When Testing $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$