Answer to Question #340671 in Statistics and Probability for crean

Question

Compute the value of z when ƥ = 0.46, q = 0.54, n = 50 and p₀ = 0.50.

Answer 1

$$z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}=\dfrac{0.46-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{50}}}$$

$$=-0.5657$$