type the correct answer in each box. use numerals instead of words.\na new test is developed to test for…

type the correct answer in each box. use numerals instead of words.\na new test is developed to test for organic matter in soil samples, giving \positive\ or \negative\ results to indicate that a sample does or does not contain organic matter.\nfor a soil sample that contains organic matter, the test will give a positive result 95% of the time and a negative result (false negative) 5% of the time. for a soil sample that does not contain organic matter, the test will give a positive result (false positive) 20% of the time and a negative result 80% of the time.\na study included a population of 1,000 soil samples, and 70% of those studied where known to contain organic matter.\nfill in the missing values in the table and statement below. if necessary, round the percentage to one decimal place.\nif a soil sample test gives a positive result, it is % likely that the soil sample contains organic matter.

type the correct answer in each box. use numerals instead of words.\na new test is developed to test for organic matter in soil samples, giving \positive\ or \negative\ results to indicate that a sample does or does not contain organic matter.\nfor a soil sample that contains organic matter, the test will give a positive result 95% of the time and a negative result (false negative) 5% of the time. for a soil sample that does not contain organic matter, the test will give a positive result (false positive) 20% of the time and a negative result 80% of the time.\na study included a population of 1,000 soil samples, and 70% of those studied where known to contain organic matter.\nfill in the missing values in the table and statement below. if necessary, round the percentage to one decimal place.\nif a soil sample test gives a positive result, it is % likely that the soil sample contains organic matter.

Answer

Answer:

35, 60, 91.7

Explanation:

Step1: Calculate negative results for organic matter samples

700 total, 5% false negative
$700 \times 0.05 = 35$

Step2: Calculate positive results for non-organic matter samples

300 total, 20% false positive
$300 \times 0.20 = 60$

Step3: Calculate total positive results

Organic positive + non-organic positive
$665 + 60 = 725$

Step4: Calculate probability of organic matter given positive result

$\frac{665}{725} \approx 0.917 \rightarrow 91.7%$