Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
It is given to us that -
A basketball player claims to make 47% of her shots from the field
The player takes sets of 10 shots
Assuming that her claim is true, a total of 25 repetitions of a simulation were performed
The number of makes in each set of 10 simulated shots was recorded on the dot plot
We have to suppose this player attempts 10 shots in a game and makes only 3 of them.
For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.
From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -
P (x = 3) = 3/10 = 0.33 = 33%
Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
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