Texas HS Mathematical Models Question of the Day

Relative to the rival, the kicker is about 29% more accurate ($\frac{0.75-0.583}{0.583}\approx 0.286$), and a two-proportion $z\approx 0.77$ is not significant at 95%; the "50% more accurate" claim is exaggerated.

The kicker is 50% more accurate because 75% is 50% higher than 50%.

The difference is statistically significant because 75% and 58% differ by 17 percentage points, so sample sizes do not matter.

They are equally accurate because both missed some attempts; only the total number of makes matters.