Question

In order to estimate the typical amount of TV watched per day by students at her school of 1,000 students, a student has all of the students in her statistics class (30 students) take a short survey. In the survey the student asked students whether or not they watched at least 10 minutes of TV yesterday. The student found that 21 of 30 students reported watching at least 10 minutes of TV yesterday. The student wishes to test whether there is evidence that more than 50% of students at the school watched at least 10 minutes of TV yesterday. Evaluate the strength of evidence for this hypothesis

1. Calculating the p-value for the hypothesis using a simulation-based approach gives a p-value of 0.0214. Based on the p-value evaluate the strength of evidence and state a conclusion about the TV watching among students yesterday.

a. there is moderate evidence that students watched more than 10 minutes of TV yesterday

b. there is little to no evidence that students watched more than 10 minutes of TV yesterday

c. there is not strong evidence that students watched more than 10 minutes of TV yesterday

d. there is strong evidence that students watched more than 10 minutes of TV yesterday

2. To which population, if any, are you comfortable drawing your conclusion? Why?

a. I am not comfortable generalizing my conclusion at all since the sample was not random.

b. I am comfortable generalizing my conclusion to all the students in my school.

c. I am comfortable generalizing my conclusion to all college students in the US.

d. I am comfortable generalizing my conclusion to all people in the US.

3. A theory-based approach would be reasonable for this data, and would result in a similar p-value to the p-value you found with simulation-based approach

a. true

b.false

Answer 1

1. Answer: d. there is strong evidence that students watched more than 10 minutes of TV yesterday

2. Answer: a. I am not comfortable generalizing my conclusion at all since the sample was not random.

3. Answer: True