how many such tests would it take for the probability of committing at least one type i error to be at least 0.7? (round your an

Question

11 months ago

7

swer up to the next whole number.)

1 answer:

drek231 [11] · Answer 1 · 2024-05-24T10:34:15+03:00

The number of tests that it would take for the probability of committing at least one type I error to be at least 0.7 is 118 .

In the question ,

it is given that ,

the probability of committing at least , type I error is = 0.7

we have to find the number of tests ,

let the number of test be n ,

the above mentioned situation can be written as

1 - P(no type I error is committed) ≥ P(at least type I error is committed)

which is written as ,

1 - (1 - 0.01)ⁿ ≥ 0.7

-(0.99)ⁿ ≥ 0.7 - 1

(0.99)ⁿ ≤ 0.3

On further simplification ,

we get ,

n ≈ 118 .

Therefore , the number of tests are 118 .

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