Cell phone coverage is in a circular pattern from the tower. if the equation of this pattern is x^2 + y^2 = 2025, how many miles away from the tower will you have coverage?

a.   n=2401 students

b.   n=2377 students

c.   B. No, using the additional survey information from part (b) only slightly reduces the sample size.

Step-by-step explanation:

a. The sample size for a sample proportion about the mean is calculated using the formula:

Where p is the proportion and E is the margin of error.

-If nothing is known about the proportion to be studied, we use p=0.5:

Hence, the required sample size is 2401

b. If the proportion to be estimated is given, we substitute it for p in the formula.

-Given p=0.55, the required sample size can be calculated as:

Hence, the required sample size for a given proportion of 55% is approximately 2377 students

c. The added information in b had a reducing effect on the sample size:

-The sample size slightly reduces by 24 students.

Hence, No, using the additional survey information from part (b) only slightly reduces the sample size.