Compute an A/B test p-value by hand

In an A/B test on a game feature, you measure **conversion rate** (binary outcome). - Control: n₁ = 1000 users, x₁ = 120 conversions - Treatment: n₂ = 980 users, x₂ = 145 conversions Tasks: 1) Compute the **two-sided p-value** for the null hypothesis H₀: p₁ = p₂ using a **two-proportion z-test** (show formulas and intermediate values). 2) State whether the result is significant at α = 0.05. 3) (Implementation) Describe how you would compute this p-value in Python **without using SciPy** (you may use `math` only).