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Suppose 100 tests are conducted to determine whether taking vitamin E increases one's chances of having...

Suppose 100 tests are conducted to determine whether taking vitamin E increases one's chances of having a heart attack. Suppose also that vitamin E has absolutely no effect on one's likelihood of having a heart attack. The tests will use a 5% significance level.

(a)   How many of the tests are likely to show significance, just by random chance?

(b)   If only the significant tests are reported, what is the only information the public is likely to hear?

Math   Statistics-And-Probability   
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Answer #1

No of tests conducted = 100

Alpha = 0.05

The significance level is the probability of rejecting a null hypothesis, when it is true. In this case, the significance level is 5% or 0.05.

A. Total number of tests conducted =100

Alpha = 5%

Therefore, number of tests , that are likely to show significance , just by random chance = (100%-5%)*100 = 95% * 100 = 95

B.   If only the significant tests are reported, the public would like to hear that With a 95% confidence we can say that vitamin E has absolutely no effect on one's likelihood of having a heart attack .

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