5. A reason people give for drinking coffee is "alertness" or "energy". This could be the case for kids who drink coffee. Or they could be groggier from a lack of sleep due to coffee. We asked ni=50...

Extracted text: 5. A reason people give for drinking coffee is "alertness" or "energy". This could be the case for kids who drink coffee. Or they could be groggier from a lack of sleep due to coffee. We asked ni=50 17-year-old kids who drink coffee if they "felt alert" x1=30 answered yes, we then asked n2-50 kids who don't drink coffee and x2-20 of the kids answered that they the "felt alert". We would like to compare these two proportions. a. What are the estimated proportions? b. What are the null and alternative hypothesis? c. Perform the test, what do you conclude? Another way we could look at this would be to do a test of association on the 2x2 table constructed from this data (see Chapters 17 Section 3 pages 573-579:). d. Please construct the table e. What is the new null and alternative hypothesis? f. What are the expected counts (under the null hypothesis) g. What are the observed minus expected counts? h. What is the test statistic? How many degree of freedom? i. What is the critical value? What do you conclude?