Question

In: Statistics and Probability

Retention of students after freshman year is always important at SMC.    The college noticed after 2018 that...

Retention of students after freshman year is always important at SMC.    The college noticed after 2018 that the rat of retention was 78%.  So in 2019 they have decided to implement new policies toward increasing student retention.  After the first year of the policy there were 342 first time first year students of which 278 returned for the second year of studies.  Treat these students as a random sample of all first time first year students.  Did a statistically significant higher proportion of students return for their second year under this policy?  Use alpha level = .1   In other words do you believe the results are significant enough that these changes be made permanent?

Solutions

Expert Solution

Test for single proportion:

H0: There is statistically significant not higher proportion of students return for their second year under this policy

H1: There is statistically significant higher proportion of students return for their second year under this policy

Thus we conculde that there is statistically significant higher proportion of students return for their second year under this policy


Related Solutions

A private college advertised that last year their freshman students, on average, had a score of...
A private college advertised that last year their freshman students, on average, had a score of 1100 on the college entrance exam. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year some of their freshman students had a score of more than 1000. Last year, the number of their...
Here is a sample of amounts of weight change​ (kg) of college students in their freshman​...
Here is a sample of amounts of weight change​ (kg) of college students in their freshman​ year: 13​, 4​, 3​, negative 6​, where negative 6 represents a loss of 6 kg and positive values represent weight gained. Here are ten bootstrap​ samples: StartSet 13 comma 13 comma 13 comma 3 EndSet​, StartSet 13 comma negative 6 comma 3 comma 13 EndSet​, StartSet 13 comma negative 6 comma 4 comma 3 EndSet​, StartSet 4 comma negative 6 comma 3 comma 13...
Here is a sample of amounts of weight change​ (kg) of college students in their freshman​...
Here is a sample of amounts of weight change​ (kg) of college students in their freshman​ year: 12​,7​,0​,−8​, where −8 represents a loss of 8 kg and positive values represent weight gained. Here are ten bootstrap​ samples: {12, 12, 12, 0}​, {12, −8, 0, 12}​, {12, −8, 7, 0}​, {7, −8, 0, 12}​, {0, 0, 0, 7}​, (7, −8, 7, −8}​, {12, 7, −8, 0}​, {−8, 7, −8, 7}​, {−8, 0, −8, 7}​, {7, 12, 12, 12}. Complete parts​ (a)...
Allison Martin, a 20-year-old freshman college student, is a paraplegic after a skiing accident that happened...
Allison Martin, a 20-year-old freshman college student, is a paraplegic after a skiing accident that happened when she was 15 years old. She also has dyslexia, not related to the accident. She meets weekly with staff at the office for disability on campus to address her educational needs and accommodations. She is comfortable with her learning support counselor, Jane Logan. Allison shares with Jane that she is concerned about her female health issues, especially now that she is a college...
Jayne was an eighteen year old freshman in college. On her second day at the college,...
Jayne was an eighteen year old freshman in college. On her second day at the college, she and her new roommate went to a “meet and greet” get together in their dorm. There were a lot of snacks and drinks there. After eating a cookie Jayne started developing nausea, itchy skin with large welts, a tingling sensation and tightness in her throat, dizziness and difficulty breathing, and a feeling of doom. She tried to speak to her roommate but her...
We measure the self-esteem scores for a sample of freshman. The population of college students has...
We measure the self-esteem scores for a sample of freshman. The population of college students has a mean self-esteem score of µ = 55 and σ = 135. The data for our freshman are as follows:         44           55                39           17           27           38           36           24           36 Summarize the sample data (that is, find the mean and standard deviation). If we ask whether our sample of freshmen is different from the typical college student, is that a one-tail test or a...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often wary of the “freshman 15”, gaining 15 pounds during the first year of college.  A dietitian on a local college campus decided to collect data to see the validity of the “freshmen 15”.  She randomly samples 15 students and measures their weight at the beginning of their first year of college and then again at the end.  A summary of the data is below. The dietitian claims,...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often wary of the “freshman 15”, gaining 15 pounds during the first year of college.  A dietitian on a local college campus decided to collect data to see the validity of the “freshmen 15”.  She randomly samples 15 students and measures their weight at the beginning of their first year of college and then again at the end.  A summary of the data is below. The dietitian claims,...
The student academic group on a college campus claims that freshman students study at least 2.5...
The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. At α = 0.01 level, is the student academic group’s claim correct? Calculate the p-value.
Suppose that, for students who are enrolled in college algebra, 72 percent are freshman, 40 percent...
Suppose that, for students who are enrolled in college algebra, 72 percent are freshman, 40 percent are female, and 25 percent are female and freshman. Your answers should be entered as decimals and rounded to three decimal places. (A) one student will be selected at random. What is the probability that the selected student will be a freshman or female (or both)? ___ (B) one student will be selected at random. What is the probability that the selected student will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT