The following is taken from a State of the Park Report for Banff National Park.
Visitors Numbers
Total Visitors: 2004= 3,135,727. 2005=3,164,906. 2006=3,281,435
Total visitor days: 2004= 7,453,465. 2005= 7,518,997. 2006= 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.
Explanation:
Total visitors for 2006 = 3,281,435
Margin of error = 7.5% of 3,281,435
= 0.075 * 3,281,435
= 246, 107.625
Confidence interval:
Lower bound = Total visitors for 2006 - margin of error
= 3,281,435 - 246, 107.625
= 3035327. 375
= 3035328 ( round up)
Upper bound = Total visitors for 2006 + margin of error
= 3,281,435 + 246, 107.625
= 3527542.625
= 3527543 ( round up)
To determine the confidence interval for total visitors in 2006, we need to consider the margin of error provided in the report. The margin of error for total visitors is 7.5%.
First, calculate the margin of error by multiplying the proportionate increase (4.6%) by the margin of error (7.5%).
Margin of error = 4.6% * 7.5% = 0.0345 or 3.45%
Next, find the upper and lower bounds of the confidence interval.
Upper bound = total visitors in 2006 + margin of error
Lower bound = total visitors in 2006 - margin of error
Using the figures given in the report, the total visitors in 2006 are 3,281,435.
Upper bound = 3,281,435 + 3.45% = 3,393,394
Lower bound = 3,281,435 - 3.45% = 3,169,476
Therefore, the confidence interval for total visitors in 2006 is between 3,169,476 and 3,393,394.