Answer:
a) The test statistic is 
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:

While the null hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that 
0 is tested at the null hypothesis:
This means that 
Standard error = 0.1
This means that 
Test statistic:



The test statistic is 
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
1) You know the height of the bird from the observer is the same as the height of the plane to tower. We also know that the angle of depression is same as the angle of elevation.
So we will use the tangent function to find the value of x.
tan 23 = 5000 / x
x = 5000 / tan 23
x = 11779
You're answer will be 11779 feet
2) We will use the sine function.
sin 35 = 17,000 / x
x = 17,000 / sin 35
x = 29638.6
So the answer would be approximately 29639