Answer: A. z = -2.57
Step-by-step explanation:
Let p be the population proportion of people polled favor the incumbent.
As per given , we have

Sample size : n= 1030
sample proportion : 
Test statistic for proportion : 

Hence, the test statistic is z = -2.57 .
Thus , the correct answer is A. z = -2.57 .
If it is perpendicular then the slope of it will be:

y = 1/3 x + b
-1 = (1/3)(3) + b
-1 = 1 + b
b = -2
The equation is:
The new line will have the same slope as the old one.
y = x + 4
y = x + b is the new line
We solve for b by using (2,2)
When x = 2
y = 2
2 = 2 + b
b = 0
Therefore the new line is
y = x