In a large clinical trial, 392,266 children were randomly assigned to two groups. The treatment group consisted of 195,900 children given a vaccine for a certain disease, and 31 of those children developed thedisease. The other 196,366 children were given a placebo, and 114 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, 91, nɔ, p2,, p, and g.

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Asked Dec 16, 2019
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In a large clinical trial, 392,266 children were randomly assigned to two groups. The treatment group consisted of 195,900 children given a vaccine for a certain disease, and 31 of those children developed the
disease. The other 196,366 children were given a placebo, and 114 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, 91, nɔ, p2,
, p, and g.
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In a large clinical trial, 392,266 children were randomly assigned to two groups. The treatment group consisted of 195,900 children given a vaccine for a certain disease, and 31 of those children developed the disease. The other 196,366 children were given a placebo, and 114 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, 91, nɔ, p2, , p, and g.

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Expert Answer

Step 1

According to the provided information, the treatment group consisted of 195900 children given a vaccine for a certain disease, and 31 of those children developed the disease. Similarly, 196366 children were given a placebo, and 114 of those children developed the disease.

So,

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n =195900 Xị = 31 n =196366 *; =114

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Step 2

The required information, can be calculated as:

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n =195900 P. = п, 31 195900 = 0.000158 =1-0.000158 = 0.999842

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Step 3

Similarly...

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n = 196366 p, = n. 114 196366 = 0.000581 ĝ; =1- p; =1-0.000581 = 0.999419

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