Angela is left-handed. She heard that about $12\%$ of all people are left-handed, but she suspected that the percentage of lefties in her school is greater. She took a random sample of $50$ students, and found that $20\%$ of them are left-handed.
Let's test the hypothesis that **the actual percentage of left-handed students is $12\%$** versus the alternative that the actual percentage is *higher* than that.
The table below sums up the results of $1000$ simulations, each simulating a sample of $50$ students, assuming there are $12\%$ left-handed students.
**According to the simulations, what is the probability of getting a sample with $20\%$ left-handed students or more?**
$\qquad$[[☃ math-keypad 1]]
Let's agree that if the observed outcome has a probability *less* than $1\%$ under the tested hypothesis, we will reject the hypothesis.
**What should we conclude regarding the hypothesis?**
[[☃ radio 1]]
Measured $\%$ of left-handed students | Frequency
:-: | :-:
$0$ | $7$
$2$ | $11$
$4$ | $32$
$6$ | $74$
$8$ | $112$
$10$ | $169$
$12$ | $194$
$14$ | $158$
$16$ | $115$
$18$ | $68$
$20$ | $41$
$22$ | $10$
$24$ | $5$
$26$ | $4$