Justin's dad claims that taking piano lessons will help Justin get into an Ivy League school one day. Justin decides to try to prove his dad wrong by interviewing a randomly selected sample of college-educated adults. Justin asks them whether they attended an Ivy League school and also whether they took piano lessons as a child.
The relative frequency table below shows his results. Justin interviewed $9$ randomly selected adults who attended an Ivy League school but did not take piano lessons.
**How many adults in Justin's survey took piano lessons?**
(Round to the nearest whole number.)
[[☃ math-keypad 1]]
**Does the table show evidence of an association between not taking piano lessons and not attending an Ivy League school?**
[[☃ radio 1]]
| | Piano lessons| No piano lessons| Row total
- | - | -
**Ivy League** | $\begin{align} &\text{Row %} \\ &\text{Column %} \\ &\text{Total %} \end{align}$ | $\begin{align} &\text{25} \\ &\text{8.3} \\ &\text{2.1} \end{align}$ | $\begin{align} &\text{75} \\ &\text{8.3} \\ &\text{6.25} \end{align}$ | $\begin{align} &\text{100} \\ &\text{------} \\ &\text{8.3} \end{align}$
**Not Ivy League ** | $\begin{align} &\text{Row %} \\ &\text{Column %} \\ &\text{Total %} \end{align}$ |$\begin{align} &\text{25} \\ &\text{91.7} \\ &\text{22.9} \end{align}$ | $\begin{align} &\text{75} \\ &\text{91.7} \\ &\text{$68.75$} \end{align}$| $\begin{align} &\text{100} \\ &\text{-----} \\ &\text{91.7} \end{align}$
**Column total** | $\begin{align} & \text{Row %}\\&\text{Column %}\\&\text{Total %}\end{align}$ | $\begin{align} &\text{-----} \\ &\text{100} \\ &\text{25} \end{align}$ | $\begin{align} &\text{-----} \\ &\text{100} \\ &\text{75} \end{align}$| $\begin{align} &\text{100} \\ &\text{100} \\ &\text{100} \end{align}$