SOLUTION: In a recent survey 45% of students at a school said they love Italian ice. If the margin of error was 4.3%, then roughly how many students were surveyed? A.) 973 students B.) 53

Question 1041724: In a recent survey 45% of students at a school said they love Italian ice. If the margin of error was 4.3%, then roughly how many students were surveyed?
A.) 973 students
B.) 535 students
C.) 133 students
D.) 243 students
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Since no confidence interval is stated, we can assume a 95% confidence interval
:
Margin of Error(ME) at 95% = 0.043 = 1.96 * square root( (0.45 * 0.55) / n )
:
0.022 = square root(0.2475 / n)
:
0.000484 = 0.2475 / n
:
n = 511
:
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Answer is B)
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