A carnival game rewards one prize to anyone who can pull a gold ball from a box of 200 balls. In the box, there are 40 gold balls, 80 white balls, and 80 black balls. One play of the game allows the player to blindly pull two balls (one at a time) from the box. After each pull, the ball is placed back into the box to potentially be pulled again. The owner of the game has collected information on the previous 500 plays of the game. The summary of the sample data is found on the "Carnival Game" worksheet in the data pack.

a.Using a 1% significance level, determine whether the owner of the game should be concerned that either too few or too many individuals are winning prizes. (10 marks)

Number of Gold Balls Number of Outcomes

0 348

1 136

2 16