A bank officer claims that a new procedure has reduced the number of non-paid loans. To verify this claim, two random samples are taken from the loan records. The first sample consists of 1500 loans, taken from the records with old procedure, has shown that the number of non-paid loans is 75. Next, the second sample, consisting of 2000 loans with new procedure has revealed that 80 are non-paid loans. Determine a 90% confidence interval for the true difference in the proportion of non-paid loans between the old and new procedures.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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5. A bank officer claims that a new procedure has reduced the number of non-paid loans.
To verify this claim, two random samples are taken from the loan records. The first
sample consists of 1500 loans, taken from the records with old procedure, has shown
that the number of non-paid loans is 75. Next, the second sample, consisting of 2000
loans with new procedure has revealed that 80 are non-paid loans. Determine a 90%
confidence interval for the true difference in the proportion of non-paid loans between
the old and new procedures.
Transcribed Image Text:5. A bank officer claims that a new procedure has reduced the number of non-paid loans. To verify this claim, two random samples are taken from the loan records. The first sample consists of 1500 loans, taken from the records with old procedure, has shown that the number of non-paid loans is 75. Next, the second sample, consisting of 2000 loans with new procedure has revealed that 80 are non-paid loans. Determine a 90% confidence interval for the true difference in the proportion of non-paid loans between the old and new procedures.
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