Question 1162310
The wording is a little unclear.
"The p-value of the test should be"--I assume that one wants to know what it is.
z=(x bar-mean)/sd/sqrt(n)
=-(0.01)/0.02/sqrt (15)
=-(1/2)sqrt (15)
=-1.94
Since we are looking at the lower tail of the z-distribution, we want the probability of z<-1.94, which is the p-value and which is 0.0262.

If alpha, which should be set before the test, is greater than the p-value, then the difference is statistically significant.