1.) According to theUS Census Bureau, 46.1% of US citizens who are between the ages of

18 and 29 voted in the 2016 election, which was the highest voter turnout of the 21^st

century. Suppose we believe that percentage for 18-29 year old adults is higher for Saint

Peter's 18-29 year old adults students for the 2020 presidential election. To determine if

our suspicions are correct, we collect information from a random sample of 500 Saint

Peter's students. Of those, 480 were citizens and were between the age of 18 and 29 in

time for the election (eligible to vote). Of those who are between 18-29 years old, 258

(53.75%) say that they did vote. Based on this random sample, do we have enough

evidence to say that the percentage of students between the ages of 18-29 and did vote

in the 2020 presidential election was higher than the proportion of 18-29 year old US

citizens who voted in the 2016 election? (1 pt.)

2.) In the population of Americans who drink coffee, the average daily consumption is 3 cups per day. Saint Peter's University wants to know if their students tend to drink less coffee than the national average. They ask a random sample of 50 students how many cups of coffee they drink each day and found and s=1.5. Is there enough evidence that their students drink less coffee than the national average? (1 pt.)

3.) The screen time habits of 30 children were observed. The sample mean was found to be 48.2 hours per week, with a standard deviation of 12.4 hours per week. A company claims that the standard deviation is 16 hours per week. A group of parents claim that the standard deviation is not 16 hours per week. Test the claim that the standard deviation was not 16 hours per week. (1 pt.)

4.)A dermatologist wishes to estimate the proportion of young adults who apply sunscreen regularly before going out in the sun in the summer. Find the minimum sample size required to estimate the proportion to within two percentage points, a 90% confidence. (1 pt.)

5.) Determine if the following is a Type I Error or Type II Error. Explain your answer.

A man goes to trial where he is being tried for stealing a car.

We can put it in a hypothesis testing framework. The hypotheses being tested are:

• H0
• : Not Guilty
• Ha
• : Guilty

If the man did steal the car, but was found not guilty and was not punished, what type of error is this situation? (1 pt.)