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 consider the margin of error and the percentage change in the total visitors.
The margin of error for the total visitors is given as 7.5%. Therefore, the maximum and minimum possible values for the total visitors in 2006 can be calculated by adding and subtracting the margin of error from the observed value.
Given:
Total visitors in 2006: 3,281,435
Margin of error: 7.5%
Maximum possible value:
Maximum value = Total visitors in 2006 + (Margin of error * Total visitors in 2006)
Maximum value = 3,281,435 + (0.075 * 3,281,435)
Maximum value = 3,281,435 + 246,107.525
Maximum value = 3,527,542.525
Minimum possible value:
Minimum value = Total visitors in 2006 - (Margin of error * Total visitors in 2006)
Minimum value = 3,281,435 - (0.075 * 3,281,435)
Minimum value = 3,281,435 - 246,107.525
Minimum value = 3,035,327.475
Therefore, the confidence interval for the total visitors in 2006 is approximately 3,035,327 to 3,527,543 (rounded to the nearest whole number).
To determine the confidence interval for total visitors in 2006, we need to consider the margin of error and the percent increase.
First, calculate the margin of error for the total visitors:
Margin of error = (Margin of error percentage / 100) * Total visitors = (7.5 / 100) * 3,281,435 = 246,107.63
Next, calculate the lower bound of the confidence interval:
Lower bound = Total visitors in 2006 - Margin of error = 3,281,435 - 246,107.63 = 3,035,327.37
Finally, calculate the upper bound of the confidence interval:
Upper bound = Total visitors in 2006 + Margin of error = 3,281,435 + 246,107.63 = 3,527,542.63
Therefore, the confidence interval for total visitors in 2006 is between 3,035,327.37 and 3,527,542.63.