Cysts ​ After Researching Cysts of a Particular Type,a Doctor

question 149

Short Answer

Cysts
​ After researching cysts of a particular type,a doctor learns that out of 10,000 such cysts examined,1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. ​ ​
-{Cysts Narrative} In the absence of any test,what is the probability that the cyst is malignant?

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, used as a threshold to gauge whether observed data are due to chance.

Drying Times

The duration it takes for a material or substance to lose its moisture or water content until deemed dry.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, usually denoted by alpha (α) and used as a threshold for determining statistical significance.

Mean Number of Chips

An average quantity of chips determined by dividing the total number of chips by the count of contributing units or instances.