Question
check the answrer for all parts please and do part e and f
Here is the data for Question Set 3 of the project:
True positives: 6290
False negatives: 1444
False positives: 1291
True negatives: 297
b) Compute the six conditional probabilities: sensitivity, specificity, positive predictive value, negative predictive value, false positive rate, and false negative rate. Give your answers as fractions, and make sure they are labelled with which probability they are. Sensitivity: 6290/7734 specificity: 297/1588 positive predictive value: 6290/7581 negative predictive value: 297/1741 false positive rate: 1291/1588 and false negative rate: 1444/7734 Compute the prevalence. Give a fraction In the sample space of exams, the prevalence is the probability of picking an exam with a class average above a 70%. So, the prevalence is 6290/9322· d) Compute the accuracy. Give a fraction. Accuracy = (Prevalence) × (sensitivity) + (1-Prevalence) x (Specificity) Accuracy = (6290/9322) x (6290/7734) + (1-6290/9322)) x (297/1588 e) Which of these is closer to the accuragy: the specificty or the sensity Ctip-Lay want to convert your answers from parts (b) and (d) to decimals or percentages to help yourself answer this question f What could be the reason for your answer to part (e)? Look at the formula for accuracy, and the prevalence from part (c) 84tr ay want to convert
Explanation / Answer
(E) (a) Sensitivity : 0.81329
(b) Specificity : 0.18702
(c) Accuracy: 0.60959
(F) The value of sensitivity is more closer to accuracy than that of specificity, this is because sensitive answers [i.e., total number of true positives out of total positives, i.e. 6290/7734] are more prevelant than that of specific answers [i.e. total number of true negatives out of the total negatives recorded, i.e. 297/1588]
