Question

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 40%. With H1 : p > 40% you obtain a test statistic of z = 1.574. Find the p-value accurate to 4 decimal places.

Answer 1

The p-value is 0.0577.

Explanation:

The alternate hypothesis is:

`H_1: p > 40\%`

P-value of the test:

The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.

We have that z = 1.574.

Looking at the z-table, z = 1.574 has a p-value of 0.9423

1 - 0.9423 = 0.0577

The p-value is 0.0577.