If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

91.72% likely that the soil sample contains organic matter.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.

Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.

If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

665 with organic matter out of 665 + 60 = 725 positive tests.

665/725 = 0.9172

0.9172*100% = 91.72%.

91.72% likely that the soil sample contains organic matter.

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted