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.
The population is all the players in the softball league. The sample is the 45 players Maritza chose and asked about basketball.
The size of the population is given as 225. The size of the sample is 45.
Can you please further explain?
Sure, a population is the entire group of individuals or objects that we want to study or make predictions about. In this case, the population is all the players in the softball league.
A sample is a subset of the population that we actually observe or measure. It is used to make inferences or draw conclusions about the population. In this case, Maritza chose 45 players from the softball league to ask about basketball.
The size of the population is given as 225, which means there are a total of 225 players in the softball league. The size of the sample is 45 because Maritza chose 45 players from the population for her study.
The population in this scenario is all the players in the softball league. The size of the population is given as 225 players.
The sample, on the other hand, is a subset of the population. It consists of the 45 players that Maritza randomly selected and asked about their basketball participation.
Therefore, the size of the sample is 45 players.
The population in this scenario refers to all the players in the softball league. The population size is given as 225 players.
The sample is a subset of the population that Maritza chose to gather information from. In this case, Maritza randomly selected 45 players and asked them whether they also play basketball. Therefore, the sample size is 45 players.
To arrive at these numbers, Maritza chose a proportional sample size from the total population. She divided the sample size (45) by the total population size (225), resulting in:
Sample proportion = Sample size / Population size
Sample proportion = 45 / 225
Sample proportion = 0.2 or 20%
Thus, the sample represents 20% of the entire population.