If 70% of the athletes who test positive for steroids in fact use them, and 30% of all athletes use steroids and test positive, what percentage of athletes test positive? (Round your answer to the nearest whole number.)

Respuesta :

Answer:

Hence total of 43 percentage of athletes will test positive.

Step-by-step explanation:

Given:

70% of athletes test positive.

and 30 % of all athletes uses steriods.

To Find:

% of athletes test positive.

Solution:

We know that percentage is given,

Required %= [Actual uses steroids/Total Positive test]*100

Consider there are 100 athletes

So 70% has positive test=70 athletes test positive

30 % uses steroids=30 athletes uses steroids.

Hence

Percentage of athletes that will test positive will be ,

=Actual uses steroids /Total positive test]*100

=[30/70]*100

=[3/7]*100

=0.4286 *100

=42.86%

=43%