Charlotte 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 $100$ students, and found that $21\%$ 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 $100$ students, assuming there are $12\%$ left-handed students.
**According to the simulations, what is the probability of getting a sample with $21\%$ left-handed students or more?**
$\qquad$[[☃ input-number 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
:-: | :-:
$4$ | $2$
$5$ | $10$
$6$ | $18$
$7$ | $47$
$8$ | $61$
$9$ | $94$
$10$ | $116$
$11$ | $126$
$12$ | $130$
$13$ | $106$
$14$ | $80$
$15$ | $75$
$16$ | $51$
$17$ | $36$
$18$ | $19$
$19$ | $15$
$20$ | $8$
$21$ | $5$
$22$ | $1$