Table 9: 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 use the provided margin of error and the percentage increase in total visitors for the period.
First, let's calculate the point estimate for the total visitors in 2006. The percentage increase in total visitors for the period is 4.6%, which means we can multiply the total visitors in 2005 by 1.046 to estimate the total visitors in 2006.
2005 total visitors = 3,164,906
Point Estimate for 2006 total visitors = 3,164,906 * 1.046 ≈ 3,308,572
Next, let's calculate the margin of error for the total visitors in 2006. The provided margin of error is 7.5% of the total visitors, so we can calculate it by multiplying the point estimate by 0.075.
Margin of Error for 2006 total visitors = 3,308,572 * 0.075 ≈ 248,143.4
Finally, we can calculate the confidence interval by subtracting the margin of error from the point estimate and adding it to the point estimate.
Lower bound = Point Estimate - Margin of Error
Upper bound = Point Estimate + Margin of Error
Lower bound = 3,308,572 - 248,143.4 ≈ 3,060,428.6
Upper bound = 3,308,572 + 248,143.4 ≈ 3,556,715.4
Therefore, the confidence interval for total visitors in 2006 is approximately 3,060,429 to 3,556,715.