Imagine that you are conducting a poll to determine the percentage of adults who gamble at least once a month. As your sample size increases (let us say from 100 to 400 cases), which of the following becomes true?

A) Confidence interval becomes wider
B) The margin of error becomes smaller
C) Amount of sampling error increases
D) The margin of error increases

B) The margin of error becomes smaller

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The width of the confidence interval is given by:

So as n increases, the width, or margin of error, becomes smaller.

As your sample size increases (let us say from 100 to 400 cases), which of the following becomes true?

The answer is:

B) The margin of error becomes smaller

what is the answer to this

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.