Assume that you plan to use a significance level of ? = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test.
-$\begin{array} { l l }
\mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 75 \
\mathrm { x } _ { 1 } = 20 & \mathrm { x } _ { 2 } = 15
\end{array}$
A) 0.0146
B) 0.1201
C) 0.0032
D) 0.0001

Question

Assume that you plan to use a significance level of ? = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test.
-$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 75 \
\mathrm { x } _ { 1 } = 20 & \mathrm { x } _ { 2 } = 15
\end{array}$
A) 0.0146
B) 0.1201
C) 0.0032
D) 0.0001

Quizplus · Accepted Answer

The P-value for the hypothesis test is 0.0146. This is found by using the chi-square test for independence. The chi-square statistic is calculated to be 5.33, and the degrees of freedom are 1. The P-value is then found by using a chi-square distribution table.

Assume That You Plan to Use a Significance Level of n1=50n2=75x1=20x2=15\begin{array} { l l } \mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 75 \\\mathrm { x } _ { 1 } = 20 & \mathrm { x } _ { 2 } = 15\end{array}n1​=50x1​=20​n2​=75x2​=15​

Assume That You Plan to Use a Significance Level of $\begin{array} { l l } \mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 75 \\\mathrm { x } _ { 1 } = 20 & \mathrm { x } _ { 2 } = 15\end{array}$