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 randomsample 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 theactual 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?Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, wewill reject the hypothesis.What should we conclude regarding the hypothesis?Choose 1 answer: Choose 1 answer:We cannot reject the hypothesis.BWe should reject the hypothesis.Measured % of dead bacteriaFrequency8048212843386998815890249922309415396519811

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Description: 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 randomsample of 100 bacteria. She found t

The probability using the frequency distribution can be found by taking the ratio of corresponding…

Answered: Choose 1 answer: We cannot reject the…

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Choose 1 answer: We cannot reject the hypothesis. B We should reject the hypothesis. 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

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Question

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?
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?
Choose 1 answer:

Choose 1 answer:
We cannot reject the hypothesis.
B
We should reject the hypothesis.
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

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