Set A: Are You Going to College?

1. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She gets a list of all students at the school from the counseling department. Describe how Tanasha could take a random sample of 50 students.

2. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She gets a list of all students at the school from the counseling department. What is the population (be specific)? What is the sample?

3. Suppose that 88% of students in the sample are planning to go to college. If she were to take a different random sample of 50 students, do you think she would get exactly the same result? Explain.

4. Suppose that 88% of students in the sample are planning to go to college. Do you think her sample percent of 88% is exactly the same as the true percent of all students at the school that plan to go to college? Why?

5. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. Why do we need to report a margin of error along with the estimate?

6. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. Use the margin of error to give an interval of possible values for the true percent of the whole population that plans to go to college.

7. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. How could Tanasha decrease the margin of error for her estimate?

8. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She takes a random sample of 50 students and finds that 88% of students in the sample are planning to go to college. Which of the following is the best conclusion? Why? • About 88% of Geometry students at this school are planning to go to college. • About 88% of students at this school are planning to go to college. • About 88% of high school students are planning to go to college.

Set B: Will Eating Dinner with Your Family Get You into College?

9. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Was this an observational study or an experiment? Justify your answer.

10. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. What are the explanatory and response variables?

11. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Identify three other possible confounding variables.

12. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. One student who just completed an application for college decided he was going to eat every meal with his family until he found out whether he was accepted. He said “This will increase my chance of getting into this college!” Do you agree? Explain.

13. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Does this study have a random sample? Why is this important?

14. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Does this study have random assignment? Why is this important?

15. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Circle the correct words to complete the conclusion For (the students in the study / all students that apply to college / all teenagers / all young people) there is a (correlation / causal relationship) between frequency of family dinners and getting into college.

16. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Describe how you would set up an experiment in this context.

Question

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16-05-2023
Mathematics

Answered

Set A: Are You Going to College?

1. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She gets a list of all students at the school from the counseling department. Describe how Tanasha could take a random sample of 50 students.

2. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She gets a list of all students at the school from the counseling department. What is the population (be specific)? What is the sample?

3. Suppose that 88% of students in the sample are planning to go to college. If she were to take a different random sample of 50 students, do you think she would get exactly the same result? Explain.

4. Suppose that 88% of students in the sample are planning to go to college. Do you think her sample percent of 88% is exactly the same as the true percent of all students at the school that plan to go to college? Why?

5. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. Why do we need to report a margin of error along with the estimate?

6. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. Use the margin of error to give an interval of possible values for the true percent of the whole population that plans to go to college.

7. Suppose that 88% of students in the sample are planning to go to college. The margin of error for this estimate is 4.6%. How could Tanasha decrease the margin of error for her estimate?

8. Tanasha, a curious Geometry student, wants to know the proportion of students at her high school that plan to go to college. She takes a random sample of 50 students and finds that 88% of students in the sample are planning to go to college. Which of the following is the best conclusion? Why? • About 88% of Geometry students at this school are planning to go to college. • About 88% of students at this school are planning to go to college. • About 88% of high school students are planning to go to college.

Set B: Will Eating Dinner with Your Family Get You into College?

9. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Was this an observational study or an experiment? Justify your answer.

10. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. What are the explanatory and response variables?

11. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Identify three other possible confounding variables.

12. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. One student who just completed an application for college decided he was going to eat every meal with his family until he found out whether he was accepted. He said “This will increase my chance of getting into this college!” Do you agree? Explain.

13. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Does this study have a random sample? Why is this important?

14. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Does this study have random assignment? Why is this important?

15. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Circle the correct words to complete the conclusion For (the students in the study / all students that apply to college / all teenagers / all young people) there is a (correlation / causal relationship) between frequency of family dinners and getting into college.

16. A study reported by ABC News states that teenagers who eat dinner regularly with their families are more likely to get into college. This conclusion was based on a survey given to a random sample of hundreds of teenagers. Describe how you would set up an experiment in this context.

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