Question

An ice cream company surveyed 1000 random individuals to see if they prefer chocolate or vanilla ice cream. Of those surveyed, 550 preferred chocolate. The ice cream company simulated the survey and found the margin of error to be 40.



What does the margin of error mean in relation to this survey? Move numbers to the blanks to complete the sentence.

Response area with 3 blank spaces
The population mean for individuals preferring chocolate is estimated as being a value within the interval of
Blank space 4 empty
to
Blank space 6 empty
because
Blank space 7 empty
percent of the sample means from the simulation trials fell within this interval.
Answer options with 8 options.

Answer 1

The population mean is estimated to be within 51% to 59% because 95 percent of the sample means from the simulation trials fell within this interval.

(Explanation: 550/1000 = 55% ± 40/1000 = 4 percentage points → 51% to 59%, and the simulation showed this interval captured about 95% of sample means.)