Question

Zach is trying to decide which of three golf courses is the best. He randomly surveyed people at a sports store and recorded the results in the table. Is the sample method valid? If so, suppose Zach surveyed 150 more people. How many people would be expected to vote for Rolling Meadows?

a) Yes, the sample method is valid.
b) No, the sample method is not valid.

Answer 1

The sample method used in this scenario is simple random sampling, which is valid. To find the expected number of people who would vote for Rolling Meadows, we can multiply the total number of people surveyed by the proportion of votes for Rolling Meadows in the original sample.

Step-by-step explanation:

The sample method used in this scenario is simple random sampling. Simple random sampling involves selecting a random sample from the population, where each member of the population has an equal chance of being selected. In this case, Zach randomly surveyed people at the sports store to determine their preferences for the best golf course.

If Zach surveyed 150 more people, we can assume that the proportions of votes for each golf course remain the same. To find the expected number of people who would vote for Rolling Meadows, we can multiply the total number of people surveyed by the proportion of votes for Rolling Meadows in the original sample.

Therefore, the sample method used in this scenario is valid, and if Zach surveyed 150 more people, the expected number of people who would vote for Rolling Meadows can be found by multiplying the total number of people surveyed by the proportion of votes for Rolling Meadows in the original sample.