Suppose this player attempts $10$ shots in a game and makes only $3$ of them. Does this provide convincing evidence that she is less than a $47 %$ shooter?
a. Yes, because $\frac{3}{10}$ ( $30 %$ ) is less than $47 %$ .
b. Yes, because she never made $47 %$ of her shots in the simulation.
c. No, because it is plausible (believable) that she would make $3$ or fewer shots by chance alone.
d. No, because the simulation was only repeated $25$ times.
e. No, because more than half of the simulated results were less than $47 % .$

Short Answer

Expert verified

No, because it is plausible (believable) that the she would make $3$ or fewer shots by chance alone.

Hence, the correct option is (c).

Step by step solution

Step 1. Given information

$3$ of the $10$ shots are made.

Step 2. Explanation for correct option

Although, it is observed that there are three dots above $3$ and one dot to the left in the dot plot of the previous exercise and therefore it is likely to get $3$ or fewer made shots when the shooter has $47 %$ probability of making the shot.

This then implies that it is likely to get the sample results and therefore there is no convincing evidence that researcher is less than a $47 %$ shooter (as it is plausible to make $3$ or fewer shots by chance alone).

Hence, the correct option is (c).