Question

Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.(2 points) Show your full work

Answer 1

In this scenario, we need to identify the population and the sample Maritza is working with, as well as calculate their sizes.

Population

The population refers to the entire group that Maritza is interested in studying. In this case, the population includes all the players in the softball league.

• Population: All 225 players in the softball league.
• Size of the Population: 225 players.

Sample

The sample refers to the subset of the population that Maritza selects to ask her question about playing basketball. In this scenario, Maritza chooses 45 players from the total population of the league.

• Sample: The 45 players that Maritza selected from the league.
• Size of the Sample: 45 players.

Summary

• Population size: 225 players (the entire softball league)
• Sample size: 45 players (the selected group Maritza questioned)

By clearly distinguishing between the whole group and the smaller subset that Maritza studies, we can effectively describe her research scenario.