Solving a two-sample z-test for two population proportions is to be performed using the P-value approach.

The null hypothesis is ${H}_{0}:{P}_{1}={P}_{2}$ and the alternative is ${H}_{a}:{P}_{1}\ne {P}_{2}$. Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value.

${n}_{1}=200$

${n}_{2}=100$

${x}_{1}=11$

${x}_{2}=8$

I got a p-value of 0.4009 but I'm not sure how to interpret this p-value and what it means or if my result is correct.

The null hypothesis is ${H}_{0}:{P}_{1}={P}_{2}$ and the alternative is ${H}_{a}:{P}_{1}\ne {P}_{2}$. Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value.

${n}_{1}=200$

${n}_{2}=100$

${x}_{1}=11$

${x}_{2}=8$

I got a p-value of 0.4009 but I'm not sure how to interpret this p-value and what it means or if my result is correct.