#### Answer

0.0456

#### Work Step by Step

$H_{0}:\mu=100$. $H_{a}:\mu\ne100.$ The P is the probability of the z-score being more than 2 or less than -2 is the sum of the probability of the z-score being less than -2 plus 1 minus the probability of the z-score being less than 2, hence:P=0.0228+1-0.9772=0.0456.