Question 1163240
z=(phat-p)/sqrt(p*(1-p)/n)
=-0.09/sqrt(.47*.53/53)
=-0.09/0.0686
=-1.312 or -1.31
prob of z<-1.31 is 0.0951 and that is the p-value

There is a problem here and that is the original data is 20/53, since a non-integer value for proportions can't be used. 0.38 is the rounded proportion, but the true value is 0.377
This makes the z-value -1.35 and the p-value 0.0882

You might want to check this with your instructor. The sample proportion is rounded considerably, so that not rounding until the end is still a problem with the initial rounding. If this were discussed, then there should be no issue.