hypotheses stat

Question

Suppose are running a study/poll about the proportion of voters who prefer Candidate A. You randomly sample 42 people and find that 34 of them match the condition you are testing.

Suppose you are have the following null and alternative hypotheses for a test you are running:

H

Calculate the test statistic, rounded to 3 decimal places

Answer 1

sample proportion phat = 34/42 = 0.810

n = 42

p = 0.79

test statistic = z = (phat - p)/sqrt(p*(1-p)/n)

= (0.810-0.79)/sqrt(0.79*0.21/42) = 0.318