Final answer:
The population proportion of games won by the team in its franchise history is 0.66, which applies to the entire population of games and does not change with a sample of 51 games.
Step-by-step explanation:
If a team has won 0.66 of all games in the franchise's history, this number represents the population proportion, which is the overall percentage of games won in the history of the team across all seasons and games played. When taking a random sample of 51 games, the population proportion remains the same, 0.66, because it is the overall or true proportion of success (winning) that applies to the entire population of games.
In probability and statistics, the population proportion is used to make inferences about a larger group based on sample data.
However, in this case, you're just being asked to state the population proportion, not to infer it from the sample. The sample size does not affect the value of the population proportion; it only affects the precision and standard error when estimating the population proportion from the sample.