Answer :
Sure, let's fill in the missing values and complete the statements step-by-step based on the given information and numerical results.
1. The number of people with the allergy is given as 100.
2. The number of positive test results for those with the allergy is 82.
3. The number of negative test results for those with the allergy is 18.
4. The number of people without the allergy is 9900.
5. The number of positive test results for those without the allergy is 990.
6. The number of negative test results for those without the allergy is 8910.
7. The positive predictive value (PPV) or the likelihood that a person has the allergy if the test is positive is 7.6%.
8. The test should not be used for allergy testing.
Now, let's complete the table and the statements:
\begin{tabular}{|c|c|c|c|}
\hline & \begin{tabular}{c}
Number of \\
People
\end{tabular} & Positive Test & Negative Test \\
\hline Have Allergy & 100 & 82 & 18 \\
\hline Don't Have Allergy & 9900 & 990 & 8910 \\
\hline
\end{tabular}
Complete the statements:
If an individual's test gives a positive result, it is 7.6\% likely that the person has the allergy.
Therefore, this test should not be used for allergy testing.
1. The number of people with the allergy is given as 100.
2. The number of positive test results for those with the allergy is 82.
3. The number of negative test results for those with the allergy is 18.
4. The number of people without the allergy is 9900.
5. The number of positive test results for those without the allergy is 990.
6. The number of negative test results for those without the allergy is 8910.
7. The positive predictive value (PPV) or the likelihood that a person has the allergy if the test is positive is 7.6%.
8. The test should not be used for allergy testing.
Now, let's complete the table and the statements:
\begin{tabular}{|c|c|c|c|}
\hline & \begin{tabular}{c}
Number of \\
People
\end{tabular} & Positive Test & Negative Test \\
\hline Have Allergy & 100 & 82 & 18 \\
\hline Don't Have Allergy & 9900 & 990 & 8910 \\
\hline
\end{tabular}
Complete the statements:
If an individual's test gives a positive result, it is 7.6\% likely that the person has the allergy.
Therefore, this test should not be used for allergy testing.