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

Using the confidence interval relation, the required information to construct a confidence interval would be a, b and d.

The confidence interval is defined using the formular thus :

• p ± Z*(σ/√n)
• p = sample proportion
• n = sample size
• Z = confidence level.

Based on the formula given, we can observe that the required information are ;

• The sample size that was used or surveyed in the experiment or trial

• The desired confidence level which we intend to create the interval upon.

• The sample proportion which is very similar to the mean of the sample.

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