Mustafa has a Magic $8$-Ball, which is a toy used for fortune-telling or seeking advice. To consult the ball, you ask the ball a question and shake it. One of $5$ different possible answers then appears at random in the ball. Mustafa sensed that the ball answers "*Ask again later*" too frequently. He used the ball $4$ times and in *all* of them he got "*Ask again later*."
Let's test the hypothesis that **each answer has an equal chance of $20\%$ of appearing in the Magic $8$-Ball** versus the alternative that "*Ask again later*" has a *greater* probability.
**Assuming the hypothesis is correct, what is the probability of getting "*Ask again later*" $4$ times out of $4$? Round your answer, if necessary, to the nearest tenth of a percent.**
$\quad$[[☃ 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]]