Question

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.

Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?

Answer 1

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

Explanation:

The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.

Sample:

45 clients.

Of those, 21 expected to go on 3 vacations in the next year.

21/45 = 0.4667

Out of the 516 clients:

0.4667*516 = 240.8

Rounding up

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.