The following table shows the results of a medical test.Positive Test ResultNegative Test ResultTotal%Has Disease%1041114%1155Does Not Have Disease%257594851TotalUse the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.)1298a. What is the probability that a person tests negative given that they have the disease? This is sometimes called the false negative rate.7082006b. What is the probability that a person has the disease given that they test negative? This is sometimes called the false omission rate.c. What is the probability that a person tests positive given that they do not have the disease? This is sometimes called the false positive rate.d. What is the probability that a person does not have the disease given that they test positive? This is sometimes called the false discovery rate.

It is given that Total number of persons = 2006 Total test negative persons = 708 Total number of persons have disease = 1155 Total number of persons do not have disease = 851 No. of persons test negative and have the disease = 114 No. of persons test positive and do not have the disease = 257 Note: According to Bartleby expert guidelines, we can answer only first question with their three subparts and rest can be reposted.Solution: a). P( test negative/have disease ) = P( test negative and have disease )/P( have disease) = (114/2006)/(1155/2006) = 114/1155 = 0.0987 = 9.9%b). P( has disease/test negative ) = P( has the disease and test negative )/P( test negative ) = ( 114/2006)/(708/2006) = 114/708 = 0.1610 = 16.1%c). P( test positive/do not have disease ) = P( test positive and do not disease )/P( do not have disease ) = (257/2006)/(851/2006) = 257/851 = 0.3020 = 30.2%