Ling 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 $200$ bacteria. She found that $87\%$ 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 $200$ bacteria, assuming there are $90\%$ dead bacteria. **According to the simulations, what is the probability of getting a sample with $87\%$ dead bacteria or less?** $\qquad$[[☃ 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 dead bacteria | Frequency :-: | :-: $84$ | $1$ $85$ | $9$ $86$ | $36$ $87$ | $43$ $88$ | $108$ $89$ | $163$ $90$ | $190$ $91$ | $178$ $92$ | $131$ $93$ | $77$ $94$ | $43$ $95$ | $17$ $96$ | $4$