Question

Getaway travel agency surveyed a random sample of 45 of their clients about their vacation plans. Of the client surveyed, 21 expected that they would go on 3 vacations in the next year. There are 516 getaway travel agency clients

Answer 1

241

Explanation:

Here is the complete question: Getaway travel agency surveyed a random sample of 45 of their clients about their vacation plans. Of the client surveyed, 21 expected that they would go on 3 vacations in the next year. There are 516 getaway travel agency clients.

Based on the data, what is the most reasonable estimate for the number of gateway travel agency clients who expect to go on 3 vacations in the next years?

Given: Total sample is 45.

Number of clients who is expected to go on 3 vacation next year is 21.

There are 516 getaway travel agency clients.

Now, finding the number of gateway travel agency clients who expect to go on 3 vacations in the next years.

Proportion of clients who is expected to go on 3 vacation next year out of random sample of 45 is
`(21)/(45)`

∴ Total number of client who is expected to go on 3 vacation out of 516 getaway travel agency clients=
`516* (21)/(45)`

Total number of client to go on 3 vacation out of 516 getaway travel agency clients =
`516* (7)/(15) = (3612)/(15)`

Total number of client to go on 3 vacation out of 516 getaway travel agency clients =
`(1204)/(5)= 240.8 \approx 241`

Hence, total number of client to go on 3 vacation out of 516 getaway travel agency clients is 241.