Answer:
0.4996
Step-by-step explanation:
We are given;
Population proportion; p = 14% = 0.14
Sample size; n = 804
Sample proportion; p^ = 13% = 0.13
Standard deviation; σ = √np(1 - p)
σ = √(804 × 0.14 × (1 - 0.14))
σ = 9.8388
Formula for z-score is;
z = (p^ - p)/σ
z = (0.13 - 0.14)/9.8388
z = -0.01/9.8388
z = -0.001
From online z-score and probability converter attached, we have;
P(Z < -0.001) = 0.4996
