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In 2016 Americans owed $1.3...

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 210 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 nothing.

(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 nothing.

(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 nothing.

(Round to four decimal places as needed.)

d. Suppose that 35 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.)

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 nothing which is less than or equal to 0.05.

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 nothing which is greater than 0.05.

C.

The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is nothing which is less than or equal to 0.05.

D.

The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is nothing which is greater than 0.05.

a. What is the probability that 10% or less of this sample has defaulted on their student loans?

The probability is nothing.

(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 nothing.

(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 nothing.

(Round to four decimal places as needed.)

d. Suppose that 35 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.)

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 nothing which is less than or equal to 0.05.

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 nothing which is greater than 0.05.

C.

The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is nothing which is less than or equal to 0.05.

D.

The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is nothing which is greater than 0.05.

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