Answer to Question #204961 in Statistics and Probability for bryan

Question

If P = 13%, x = 45, n = 250, then the computed z value is 2.351

Answer 1

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

$$\hat{p}=\dfrac{x}{n}=\dfrac{45}{250}=0.18$$

$$p_0=0.13$$

$$z=\dfrac{0.18-0.13}{\sqrt{\dfrac{0.13(1-0.13)}{25}}}\approx2.351$$

If P = 13%, x = 45, n = 250, then the computed z value is 2.351. True.