Statistics hypothesis testing

Question

Suppose are running a study/poll about the probability of a true negative on a test for a certain cancer. You randomly sample 140 people and find that 52 of them match the condition you are testing.

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

H₀:p=0.42H₀:p=0.42

H_a:p<0.42H_a:p<0.42

Calculate the test statistic, rounded to 3 decimal places

z=

Answer 1

The test statistic would be:

(52/140-42/100)/sqrt((42/100*58/100)/140).