Question is below:

Question

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 10%. With H1 : p ≠ 10% you obtain a test statistic of z = 2.155 . Find the p-value accurate to 4 decimal places.

Answer 1

The way to get a p-value from a z-score is either to look it up on a z-table (like the ones at ztable.net or in the back of your statistics textbook), or to use a computer program like the one called normalpdf on the TI-84 graphing calculator. The z-table only gives 3 decimal places of accuracy on this question (because it's between two values in the table), so to get 4 decimals we will use the TI-84.

Find the function under DISTR (above VARS), and it's the first option. By default, it sets the mean to 0 and the standard deviation to 1. This is what we want. Then enter your z-score, 2.155, for x. Click enter until it gives you an answer, p = 0.0391