Question

eoc q6.5
3 tries left
if a poll of 1,500 people has a sampling error of +/- 3 percent and shows that 40 percent of people approve of the president’s job performance, it means that ______.
○ the true figure is between 40 and 43 percent
○ the true figure is between 37 and 40 percent
○ the true figure is most likely between 37 and 43 percent
○ the true figure is precisely 43 percent

Explanation:

Sampling error of +/- 3 percent means the true percentage is the polled percentage (40%) plus or minus 3%. So we calculate 40 - 3 = 37 and 40 + 3 = 43. Thus, the true figure is most likely between 37 and 43 percent. The first option only considers the upper bound addition, the second only the lower bound subtraction, and the fourth is incorrect as sampling error implies a range, not a precise value.

Answer:

C. the true figure is most likely between 37 and 43 percent