A developer claims that the percent of city residents who favor building a new football stadium is likely between 52.3% and 61.7

Question

3 years ago

11

%.How many residents were surveyed? Round your answer to the nearest whole number

1 answer:

Dmitry [639] · Answer 1 · 2022-06-06T17:27:51+03:00

Answer: 453

Step-by-step explanation:

To solve the question, we have to calculate the margin of error which will be:

= (61.7% - 52.3%) / 2

= 9.4% / 2

= 4.7%

4.7% = 1 / ✓n

0.047 = 1 / ✓n

✓n = 1 / 0.047

✓n = 21.28

Square both sides to.gwt the value of n

n = 21.28²

n = 452.69

n = 453

453 residents were surveyed