4. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default. a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use a = 0.01. (ii) The test statistic for the above problem is ZO = 20 20 - 2.993 = 0.16 = 0.16 20 = 2.993

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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4. Failure to meet payments on student loans guaranteed by the United States (U.S.)
government has been a major problem for both banks and the government.
Approximately 50% of all student loans guaranteed by the government are in default.
A random sample of 350 loans to college students in one region of the U.S. indicates
that 147 loans are in default.
a) Do the data indicate that the proportion of student loans in default in this area of
the country differs from the proportion of all student loans in the U.S. that are in
default? Use a = 0.01.
(ii) The test statistic for the above problem is
20 - 2.993
=
20 =
20 =
0.16
- 0.16
20 = 2.993
Transcribed Image Text:4. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default. a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use a = 0.01. (ii) The test statistic for the above problem is 20 - 2.993 = 20 = 20 = 0.16 - 0.16 20 = 2.993
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