first thing to know that a 390-room hotel has 390 berths (assuming one double bed) and that if you work at 85% capacity ( is very high indeed), then sell year: 390 x 365 x 0.85 = 120,998 room nights a year . Assuming an average of 1.8 persons per room, then in a year that hotel would capture 120,998 x 1.8 = 217,796 customers . And another hotel would follow the same calculation: 311 x 0.85 x 365 = 96,488 rooms sold each year and multiplied by 1, 8 would 173,678 customers a year.
Now the question is to know what would be the representative sample of the total population of customers: 217,796 + 173,878 = 391,674 tourists to survey.
As we are dealing with clients who are housed in a hotel, chances are that 65% of visitors staying at hotels and 35% of customers buy other accommodations, and now applying the formula for infinite population , where 6% (0, 06) is the standard error and confidence level of 90% (with Z = 1.64), we have:
n = [square 1.64 x (0.65) (0.35)] / 0, 06 squared, n = [2.6896 x 0.2275] / 0.0036
n = 170 tourists surveyed.
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