Question: 1a) Present the data in the news using a two-by-two table. Your row variable will be TREATMENT (0 = Placebo and 1 = Moderna) and

1a) Present the data in the news using a two-by-two table. Your row variable will be TREATMENT (0 = Placebo and 1 = Moderna) and your column variable will be RESPONSE (0 = No covid and 1 = Covid).

Information provided included placebo group of 15000 and 90 got covid. Treatment group 15000 and 5 got covid.

0 1
0 14910 14995
1 90 5
Total 15000 15000

1b) Compute all of the marginal and conditional probabilities using the formulas in Chapter 3 of our Textbook. Interpret all of the probabilities.

Probabilities included p(a), p(not a), p(b), P(notb). This is what I calculated. I'm not sure if it is correct. I am struggling with the conditional probabilities of p(b when not A) and p(b when A)

P(A)=#times_A_occurs/N

Probability someone will get covid with Moderna 5/15000= 0.0003= which is less than 1% chance.

P(not A) Probability they have Moderna and not get covid = 14995/15000=0.9996=99%

0.003+0.9996=1

P(B)= Probability someone will get covid without Moderna 90/15000= 0.006

P(Not B)= Probability will not have Moderna and will not get covid= 14910/15000= 0.994

0.006+0.994=1

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