The mortgage department of a large bank is interested in the nature of loans of first-time borrowers. This information will be used to tailor their marketing strategy. They believe that the probability that the first-time borrowers take out smaller loans than other borrowers is 0.77. They perform a hypothesis test to determine if the probability is the same or different from 0.77. They sample 110 first-time borrowers and find 83 of these loans are smaller that the other borrowers. What is the test statistics to test the null hypothesis Ho: p = 0.77 against the alternative hypothesis Ha: p # 0.77?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The mortgage department of a large bank is
interested in the nature of loans of first-time
borrowers. This information will be used to tailor
their marketing strategy. They believe that the
probability that the first-time borrowers take out
smaller loans than other borrowers is 0.77. They
perform a hypothesis test to determine if the
probability is the same or different from 0.77.
They sample 110 first-time borrowers and find
83 of these loans are smaller that the other
borrowers. What is the test statistics to test the
null hypothesis Ho: p = 0.77 against the
alternative hypothesis Ha: p + 0.77?
Transcribed Image Text:The mortgage department of a large bank is interested in the nature of loans of first-time borrowers. This information will be used to tailor their marketing strategy. They believe that the probability that the first-time borrowers take out smaller loans than other borrowers is 0.77. They perform a hypothesis test to determine if the probability is the same or different from 0.77. They sample 110 first-time borrowers and find 83 of these loans are smaller that the other borrowers. What is the test statistics to test the null hypothesis Ho: p = 0.77 against the alternative hypothesis Ha: p + 0.77?
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