Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:

Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:

Hence, the actual sample size is smaller for a known proportion from prior a prior study.
If you separate the numbers 58 to 50 and 8 you get the values for both.
Hey there!
The answer is D. 1/5
An explanation is in the attached image below.
Hope this helps!
Exponential Function.
Plotting the graph using this table gives the first figure. An exponential function has this kind of graph.
See the attached picture for the answers: