Exercise $10\mathrm{.}29$ Algo $($Interences About the Difterence Between Two Population Proportions$)$

Consider the hypothesis test below.

$H_0$:$p_1-p_{2}0$

$H_a$:$p_1-p_2>0$

The following results are for independent samples taken from the two populations.

Sample $1$

Sample $2$

$n_1=100\frac{?}{b}$

$ar(p{)}_1=0\mathrm{.}29$

$n_2=300\frac{?}{b}$

$ar(p{)}_2=0\mathrm{.}12$

Use pooled estimator of $p.$

a$.$ What is the $p-$value $($to $4$ decimals$)?$ Use Table $1$ from Appendix B$.$

b$.$ With $=0\mathrm{.}05,$ what is your hypothesis testing conclusion?