In this scenario, the population is defined as the entire group of interest from which the sample is drawn. The population consists of all 225 players in the softball league that Maritza is studying. It represents the complete set of individuals that share a common characteristic or attribute, in this case, being players in the softball league.
On the other hand, the sample is a subset of the population that is selected to represent and provide information about the larger group. In this case, Maritza chooses a sample of 45 players from the total population of 225 softball league players. The sample is meant to be a smaller, manageable group that can be studied to draw conclusions or make inferences about the population as a whole.
The size of the population is directly related to the total number of individuals in the group being studied. In this case, the population size is 225, which is the total count of players in the softball league that Maritza is interested in.
Similarly, the sample size refers to the number of individuals that Maritza selects from the population to be part of her study. In this scenario, the sample size is 45, which represents the number of players Maritza will survey or interview to gather information about basketball participation among softball league players.
In summary:
- Population: All 225 players in the softball league
- Sample: A subset of 45 players selected from the population
- Population size: 225 players
- Sample size: 45 players
By studying the sample of 45 players, Maritza aims to gain insights and make generalizations about the entire population of 225 softball league players concerning their participation in basketball. The sample serves as a representative group that provides information about the population characteristics.