Nour wants to go on a popular talent TV show. In order to be accepted, her audition must get at least $60\%$ positive votes from the people in the crowd. She was afraid she will not get enough votes, so she made a video of her act and showed it to $100$ random people from the crowd before the show. $54\%$ of the people said they would vote for her.
Let's test the hypothesis that **the actual percentage of positive votes among the crowd is $60\%$** versus the alternative that the actual percentage is *lower* than that.
The table below sums up the results of $1000$ simulations, each simulating a sample of $100$ votes, assuming there are $60\%$ positive votes.
**According to the simulations, what is the probability of getting a sample with $54\%$ positive votes or less?**
$\qquad$[[☃ 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 positive votes | Frequency
:-: | :-:
$44$ | $1$
$46$ | $3$
$48$ | $5$
$50$ | $20$
$52$ | $41$
$54$ | $63$
$56$ | $93$
$58$ | $157$
$60$ | $179$
$62$ | $137$
$64$ | $124$
$66$ | $87$
$68$ | $48$
$70$ | $25$
$72$ | $14$
$74$ | $2$
$76$ | $1$