*Random sample?* Yes. - *Independence?* $800 \leq 0.10 \times 500{,}000$. ✓ - *Success-failure?* $n\hat{p} = 800 \times 0.12 = 96 \geq 10$ ✓ and $n(1-\hat{p}) = 800 \times 0.88 = 704 \geq 10$ ✓