Question

a basketball coach wants to estimate the proportion of players who scored more than 15 points in a game. he randomly selects 8 players and records the number of points each player scored in their last game:

12, 15, 18, 14, 20, 13, 19, 16

what is the estimated population proportion for the number of players who scored more than 15 points in a game based on this sample? calculate the proportion and enter your answer (rounded to two decimal places) in the box below.

the estimated population proportion for the number of players who scored more than 15 points is

Explanation:

Identify the sample size and criteria

The sample size is \(n = 8\).
The criteria is to find players who scored strictly more than 15 points (i.e., \(\text{points} > 15\)).

Count the players meeting the criteria

The recorded scores are: 12, 15, 18, 14, 20, 13, 19, 16.
Scores strictly greater than 15 are: 18, 20, 19, 16.
The number of players meeting the criteria is \(x = 4\).

Calculate the estimated population proportion

$$ \hat{p} = \frac{x}{n} = \frac{4}{8} = 0.50 $$

Answer:

The estimated population proportion for the number of players who scored more than 15 points is <blank>0.50</blank>