Two tasks:

NUMBER ONE. For each of the following: write down the null hypothesis (in formula and in words), research hypothesis (in formula and in words) and identify the test you will use to determine the answer. Explain your selection!

1. Mr. Grass, is working on a research project but is unsure of how to analyze his data. He would like to find out if people who participate in the Weight Watchers program weigh less compared to before they started the program. He has data on the weight of the participants before and after the program. (6 pts).
2. You want to compare the impact of the amount of screen time per day as well as their gender on how much they weigh. You have 3 categories of screen time (less than 3 hours, 3 – 8 hours, and over 8 hours), and 2 categories of gender (Male and Female and a sample of 30 people. (Hint: there is more than one null/research hypotheses!) (10 pts)

1. Suppose Dr. Moo wants to determine whether people identify themselves as being “happy” based on their education level. She has collected the frequency table on people who claim to be happy. (6 pts)

NUMBER TWO

You are trying to estimate the effect of the infant mortality rate, violent crime rate (per 100,000 people) and the percentage of population that is white on the poverty rate of a given state in the US. Using a sample of 50 states, you obtain the following regression output table.

1. Write down the regression equation based on the following table.
2. Predict the poverty rate, given that the infant mortality rate is 9, the percentage of population that is white is 71 and violent crime per 100,000 people is 450 .
3. What is the correlation coefficient r?
4. How much of the variance in the consumption of roses is explained by these three variables?
5. Interpret the coefficients and remark on their statistical significance, including whether you reject or fail to reject the null hypothesis at the 5% level. Be sure to write down the marginal effects precisely!