Alma has developed a new kind of antibiotic that she expects to kill $90\%$ of harmful bacteria when applied. She applied her antibiotic to a Petri dish full of bacteria, waited for it to take effect, and took a random sample of $100$ bacteria. She found that $84\%$ of them were dead. Let's test the hypothesis that **the actual percentage of dead bacteria is $90\%$** 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 $100$ bacteria, assuming there are $90\%$ dead bacteria. **According to the simulations, what is the probability of getting a sample with $84\%$ dead bacteria 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 dead bacteria | Frequency :-: | :-: $80$ | $4$ $82$ | $12$ $84$ | $33$ $86$ | $99$ $88$ | $158$ $90$ | $249$ $92$ | $230$ $94$ | $153$ $96$ | $51$ $98$ | $11$