Question

A recent survey estimated that 19 percent of all people living in a certain region regularly use sunscreen when going outdoors. The margin of error for the estimate was 1 percentage point. Based on the estimate and the margin of error, which of the following is an appropriate conclusion?
(A) Approximately 1% of all the people living in the region were surveyed.
(B) Between 18% and 20% of all the people living in the region were surveyed.
(C) All possible samples of the same size will result in between 18% and 20% of those surveyed indicating they regularly use sunscreen.
(D) The probability is 0.01 that a person living in the region will use sunscreen when going outdoors.
(E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.

Answer 1

The correct option is: (E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.

Step-by-step explanation:

The margin of error is a statistic expressing the amount of random sampling error that occurred due to miscalculation and survey results. The margin error is usually a small amount of error.

Generally 5% of margin of error is common and acceptable. When the percentage of the margin of error increases, the confidence in the report result will be reduced.

The recent survey reveals that 19% of the people living in a certain region regularly use sunscreen when going outdoors. The permissible margin of error in this survey is 1%.

Probably the percentage of people using sunscreen in the particular region will be 18.5%.