Visitor Numbers

Total visitors: 2004. 2005. 2006
3,135,727. 3,164,906. 3,281,435
Total visitor days: 2004. 2005. 2006
7,453,465. 7,518,997. 7,784,044

Total visitors have increased by 4.6% and total visitor days by 4.4% in this period. Group tour visitors have increased slightly from 11.6% to 12.6% of the total. These figures are not absolutes as the margin of error for total visitors is 7.5% and for total visitor days, 7.3%.
1.) Determine the confidence interval for total visitors in 2006.

To determine the confidence interval for total visitors in 2006, we need to take into account the margin of error provided. The margin of error is 7.5%.

First, calculate the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the observed value.

Upper Bound:
Total visitors in 2006 + (Total visitors in 2006 x Margin of Error)
= 3,281,435 + (3,281,435 x 0.075)
= 3,281,435 + 246,107.125
= 3,527,542.125

Lower Bound:
Total visitors in 2006 - (Total visitors in 2006 x Margin of Error)
= 3,281,435 - (3,281,435 x 0.075)
= 3,281,435 - 246,107.125
= 3,035,327.875

Therefore, the confidence interval for total visitors in 2006 is between 3,035,327.875 and 3,527,542.125.