Question

You may want to create a table to help you with this problem.A rare birth defect occurs in approximately 0.5% of all cases in males. If we sample all themales born in 2016 in a specific region (200,000), fill out your table and answer the followingquestions. A test can be done with 96% accuracy to determine if a child has the birth defect.Out of all people, what are the chances that males get a positive test result?(Write your answer as a percentage to 2 decimals.)I

Answer 1

The total amound of samples is 200,000 so now we can use a rule of 3 to calculate how many males has the defect so:

`\begin{gathered} 200000\to100 \\ x\to0.5 \end{gathered}`

so the equation is:

`\begin{gathered} x=(200000\cdot0.5)/(100) \\ x=1000 \end{gathered}`

So now the probability to have a positive sample will be:

`\begin{gathered} p=(1000)/(200000)\cdot100 \\ p=0.005\cdot100 \\ p=0.50 \end{gathered}`

there is a 0.50%