The following two-by-two table was created from the data.   TROUBLE STAYING ASLEEP [outcome]   TROUBLE FALLING ASLEEP [predictor] Yes No TOTAL Yes 65 40 105 No 51 110 161 TOTAL 116 150 266 Let TP denote True Positive cases. Let TN denote True Negative cases. Let FP denote False Positive cases. Let FN denote False Negative cases.     Trouble staying asleep (outcome)     Yes No Trouble falling asleep (predictor) Yes TP FN No FP TN What is the positive predictive value of the predictor variable for the outcome? What is the negative predictive value of the predictor variable for the outcome? Which predictive value (negative or positive) is higher? What proportion of participants have trouble falling asleep and staying asleep? What is the prevalence of “Trouble staying asleep” among study participants?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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  1. The following two-by-two table was created from the data.
 

TROUBLE STAYING ASLEEP

[outcome]

 

TROUBLE FALLING ASLEEP
[predictor]

Yes

No

TOTAL

Yes

65

40

105

No

51

110

161

TOTAL

116

150

266

Let TP denote True Positive cases.

Let TN denote True Negative cases.

Let FP denote False Positive cases.

Let FN denote False Negative cases.

 

 

Trouble staying asleep (outcome)

 

 

Yes

No

Trouble falling asleep (predictor)

Yes

TP

FN

No

FP

TN

What is the positive predictive value of the predictor variable for the outcome?

What is the negative predictive value of the predictor variable for the outcome?

Which predictive value (negative or positive) is higher?

What proportion of participants have trouble falling asleep and staying asleep?

What is the prevalence of “Trouble staying asleep” among study participants?

Expert Solution
Step 1

Given that TP = true positive cases = 65

FP = false positive cases = 40

TN = true negative cases = 110

FN = false negative cases = 51

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