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.
what is the confidence interval of total visitors in 2006?
To determine the confidence interval for total visitors in 2006, we need to consider the margin of error provided, which is 7.5%.
Step 1: Calculate the mean or average of total visitors in 2006.
Mean = (Total visitors in 2006) = 3,281,435
Step 2: Calculate the margin of error.
Margin of Error = (Margin of Error percentage / 100) x Mean
Margin of Error = (7.5 / 100) x 3,281,435
Step 3: Determine the lower and upper bounds of the confidence interval.
Lower Bound = Mean - Margin of Error
Lower Bound = 3,281,435 - (7.5 / 100) x 3,281,435
Upper Bound = Mean + Margin of Error
Upper Bound = 3,281,435 + (7.5 / 100) x 3,281,435
So, the confidence interval for total visitors in 2006 would be the Lower Bound and Upper Bound values calculated in Step 3.
Lower Bound: 3,281,435 - (7.5 / 100) x 3,281,435
Upper Bound: 3,281,435 + (7.5 / 100) x 3,281,435