A random sample of U.S. university students was chosen in Fall 1957.

Each student was asked if they attended a public or private universities and the number of years before they would graduate (4 years or less than 4 years).We will conduct a hypothesis test to determine if the type of school is related to the number of years before graduation.

A) Why is a chi-squared test of independence appropriate? Choose the appropriate answer from below.

A.

Since the sample is drawn from one population (students) and broken down by two categorical variables (type of university and time until graduation).

B.

Since the sample is drawn from two populations (private and public universities) and broken down by one categorical variable (time until graduation).

C.

Since the sample is drawn from two populations (private and public universities) and broken down by two categorical variables (type of university and time until graduation).

D.

Since the sample is drawn from one population (university students) and broken down by one categorical variable (time until graduation).

B) Pick the appropriate Ha from below.

A.

Ha: Type of university and time until graduation are not associated for students.

B.

Ha: The distribution of time until graduation is the same for private and public universities.

C.

Ha: Type of university and time until graduation are associated for students.

D.

Ha: The distribution of time until graduation is not the same for private and public universities.

Use the results of the survey below to answer the remaining questions.

4 Years Less than 4 Years All

Public 395 181 576

Private301 44345

All 696225921

C) Calculate the expected number of students in private universities who think they will graduate in 4 years.

Expected Number = (enter answer to 2 decimal places)

D) Calculate the contribution to chi-squared for students in private universities who think they will graduate in 4 years.Contribution = (enter answer to 2 decimal places)

E) Is the expected cell frequency condition satisfied? Choose the most appropriate answer from below. You do not need to additional calculations to answer this question.

A.

Yes, since

6.22

> 5

B.

No, since

6.22

> 5

C.

Can't say based on information provided.

D.

Yes, since

44

> 5

F) The value of the test statistic is 60 (approximately). Using Table X (the chi-squared table on page C-5 of your textbook), what is the best we can say about the p-value?

A.

0.1 > p-value > 0.05

B.

p-value < 0.01

C.

p-value > 0.1

D.

0.05 > p-value > 0.01

G) If the assumptions hold, choose the appropriate conclusion from below.

A.

We conclude that the distribution of time until graduation is not the same for private and public universities.

B.

We have strong evidence that the distribution of time until graduation is the same for private and public universities.

C.

We conclude that type of university and time until graduation are associated.

D.

We have no evidence that the distribution of time until graduation is the same for private and public universities.

E.

We have no evidence that type of university and time until graduation are associated.

F.

We have strong evidence that type of university and time until graduation are associated.