Ivan surveyed 49 randomly selected players from the 134 players of the soccer club teams to see if they wanted the games to be played on Saturdays or Sundays. Twenty-two of the players said that they preferred that the games be played on Saturdays. Ivan correctly determined that the margin of error, E, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%
The sample proportion preferring Saturday is 22/49, or about 45%. Using the stated margin of error of 18%, the confidence interval is about 45% − 18% to 45% + 18%, which is 27% to 63%. So the correct choice is “between 27% and 63%.”
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