Marissa plays in a softball league. She wants to know about how many players in the league also plays a basketball because there are 1225 players in the lake. She chooses the names of 45 by the players and ask them what are they also play basketball describe the population in the sample. What is the size of the population and what is the size of the shampoo? Show your work?
Population size: 1225 players
Sample size: 45 players
In the sample, Marissa asked 45 players if they also play basketball. This means the shampoo size is 45 players.
To find out about how many players in the league also play basketball based on the sample, we can calculate the proportion of players in the sample who play basketball and then apply that proportion to the population size.
Let's say out of the 45 players, 15 of them play basketball.
Proportion of players in sample who play basketball:
15/45 = 1/3
Now, we will apply this proportion to the population size to estimate the number of players in the league who also play basketball:
(1/3) * 1225 = 1225/3 ≈ 408.33 players
Therefore, based on the sample of 45 players, we can estimate that about 408 players in the league also play basketball.