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In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for colleges to receive federal student aid. According to the Departmer of Education, an average of 11.2% of Americans who had student loans defaulted on their loans. A random sample of 205 recent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) d. Suppose that 28 students from this sample defaulted on their student loans. Does this result support the claim made by the Department of Education? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill-in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The results do not support the clai because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. which is greater than 0.05. O B. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O D. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is Next

In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for colleges to receive federal student aid. According to the Departmer of Education, an average of 11.2% of Americans who had student loans defaulted on their loans. A random sample of 205 recent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) d. Suppose that 28 students from this sample defaulted on their student loans. Does this result support the claim made by the Department of Education? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill-in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The results do not support the clai because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. which is greater than 0.05. O B. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O D. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is Next

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for colleges to receive federal student aid. According to the Department of Education, an average of 11.2% of Americans who had student loans defaulted on their loans. A random sample of 205 recent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is (Round to four decimal places as needed.) d. Suppose that 28 students from this sample defaulted on their student loans. Does this result support the claim made by the Department of Education? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill-in the answer box to complete your choice. (Round to four decimal places as needed.) which is less than or equal to 0.05. O A. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O B. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O D. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is Next
Transcribed Image Text:In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for colleges to receive federal student aid. According to the Department of Education, an average of 11.2% of Americans who had student loans defaulted on their loans. A random sample of 205 recent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is (Round to four decimal places as needed.) d. Suppose that 28 students from this sample defaulted on their student loans. Does this result support the claim made by the Department of Education? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill-in the answer box to complete your choice. (Round to four decimal places as needed.) which is less than or equal to 0.05. O A. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O B. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O D. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is Next
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