Find the p-value accurate to 4 decimal places.

Question

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 44%. With H₁ : p ≠ 44% you obtain a test statistic of z=3.294. Find the p-value accurate to 4 decimal places.

p-value =

Answer 1

p- value = P(z > 3.294) + P(z < -3.294). Since normal distribution is symmetric that is equal to 2*P(z < -3.294) = 2 * 0.0005 = 0.001