State whether the following statements are True or False. Give reason

Question

State whether the following statements are True or False. Give reason in support of your answer:

(a) The value of sensitivity of the following results of a diagnostic test is 0.85

Disease	Test result		Total
	+	–
Present	170	30	200
Absent	20	280	300

(b) For the following cohort study, the relative risk for the lung cancer among smokers is 3.5.

	Lung Cancer	No Lung Cancer	Total
Smokers	100	1220	1320
Non-smokers	50	2260	2310

(d) We define three indicator/dummy variables for a regressor variable with three categories.

(e) Left censoring occurs whenever the exact time of occurrence of an event is not known.

20 Feb 2025

Answer :

Word Count : 360

Let's address each statement and evaluate whether it is true or false, providing explanations for each: ### (a) The value of sensitivity of the following results of a diagnostic test is 0.85. To calculate the sensitivity of the test, we use the formula: \[ \text{Sensitivity} = \frac{\text{True Positives}}{\text{True Positives} + \text{False Negatives}} \] From the table, the number of True Positives (TP) is 170 (disease present and test result positive), and the number of False Negatives (FN) is 30 (disease present and test result negative). Thus, sensitivity is: \[ \text{Sensitivity} _________ _____ ____ _______ ________ _________ _________ ________ __________ _________.
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Workout (in minutes)	Severity of diabetes status
	Low	Moderate	High
0 −15	06	27	19
15 to 30	08	36	17
30 to 45	21	45	33
≥ 45	14	18	06

Risk Factor	Parameter Estimate	SE
Age	0.150	0.010
Gender	0.450	0.150
Systolic Blood Pressure	0.015	0.008
Smoking	0.650	0.170
Total Serum Cholesterol	0.002	0.004
Diabetes	-0.350	0.250