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. (i) The conclusion for the above problem is Do not reject the null hypothesis and the proportion of student loans in default in this area of the country does not differ from the proportion of all student loans in the U.S. that are in default. Do not reject the null hypothesis and 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. Reject the null hypothesis and 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. Reject the null hypothesis and the proportion of student loans in default in this area of the country does not differ from the proportion of all student loans in the U.S. that are in default.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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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.
(i) The conclusion for the above problem is
Do not reject the null hypothesis and the proportion of student loans in default
in this area of the country does not differ from the proportion of all student
loans in the U.S. that are in default.
Do not reject the null hypothesis and 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.
Reject the null hypothesis and 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.
Reject the null hypothesis and the proportion of student loans in default in this
area of the country does not differ from the proportion of all student loans in
the U.S. that are in default.
Transcribed Image Text: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. (i) The conclusion for the above problem is Do not reject the null hypothesis and the proportion of student loans in default in this area of the country does not differ from the proportion of all student loans in the U.S. that are in default. Do not reject the null hypothesis and 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. Reject the null hypothesis and 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. Reject the null hypothesis and the proportion of student loans in default in this area of the country does not differ from the proportion of all student loans in the U.S. that are in default.
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