Question

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

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).