Question

A survey is run in a country of approximately 5 million people. The survey is held in order to estimate what proportion of people in the country have a certain characteristic. Roughly 1,000 people are surveyed, and a sample proportion is calculated. The surveyor then wishes to construct a confidence interval for the population proportion. Select the pieces of information that the surveyor requires in order to construct the confidence interval:
a. the exact size of the sample that is surveyed
b. the proportion of people in the sample with the characteristic
c. the characteristic of interest the exact size of the population
d. the level of confidence desired

Answer 1

Answer:

Step-by-step explanation:

Confidence intervals are constructed to estimate an unknown parameter of the population. This is usually population mean and sometimes, population standard deviation.

Since we are dealing with proportion, then the sample proportion would be used to determine the population proportion

Therefore, the pieces of information that the surveyor requires in order to construct the confidence interval are

a. the exact size of the sample that is surveyed

b. the proportion of people in the sample with the characteristic

d. the level of confidence desired

In order to solve, the sample, p proportion is determined.

p = number if people in the sample with the characteristic/ number of sample

q = 1 - p

Margin of error = z × √pq/n

Confidence interval = p ± margin of error