A random sample of U.S. univer5ity 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 betore graduation. A) Why is a chi-squared test of Independence appropriate? Choose the appropriate answer from below. 0 A. Since the sample is drawn from one population (students) and broken down by two Categorical variables (type ofuniversity and time until graduation). O E. 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 one population (university students) and broken down by one Categorical variable (time until graduation). O D. 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}. B) Pick the appropriate Ha from below. 0 A. Ha Type of university and time until graduation are not associated for students 0 E. He The distribution ottime until graduation is not the same for private and public universities. C. Ha Type of university and time until graduation are associated for students. 0 D. He The distribution ottime until graduation is 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 5 76 Private 309 36 345 All 7 04 21 7 92 1 (3} Calculate the expected number of students in private universities who think they will graduate in 4 years. Expected Number 2 (enter answer to 2 decimal places} D) Calculate the contribution to chisquared for students in private universities who think they will graduate in 4 years. Contribution = D (enter answer to 2 decimal places) 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 chisquared 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 satised? Choose the most appropriate answer from below. You do not need to do any additional calculations to answer this question. 0 A. Yes, since 7 78 > 5 O B. No, since 7.73 > 5 O C. Yes, since 36 > 5 G) D. Can't say based on information provided. G) If the assumptions hold, choose the appropriate conclusion from below. 0 A. We conclude that type of university and time until graduation are associated. @I B. We have strong evidence that type of university and time until graduation are associated. O C. We have strong evidence that the distribution of time until graduation is the same for private and public universities. O D. We conclude that the distribution of time until graduation is not the same for private and public universities. O E. We have no evidence that type of university and time until graduation are associated. O F. We have no evidence that the distribution of time until graduation is the same for private and public universities