d. What are the observed minus expected counts? e. What is the test statistic? How many degrees of freedom? f. What is the critical value? What do you conclude?

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Only looking for d, e, and f.

6. 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 n=50 17-year-old kids who drink coffee if they "felt alert" x1=30
answered yes, we then asked n=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 way we could look at this would be to do a test of association on the 2x2 table
constructed from this data (table below).
Red
Yellow
Green
Blue
Introvert
10
15
22
50
Extrovert
90
17
25
18
150
100
20
40
40
n = 200
a. Please construct the table for this example.
b. What is the new null and alternative hypothesis?
c. What are the expected counts (under the null hypothesis)?
d. What are the observed minus expected counts?
e. What is the test statistic? How many degrees of freedom?
f. What is the critical value? What do you conclude?
Transcribed Image Text:6. 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 n=50 17-year-old kids who drink coffee if they "felt alert" x1=30 answered yes, we then asked n=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 way we could look at this would be to do a test of association on the 2x2 table constructed from this data (table below). Red Yellow Green Blue Introvert 10 15 22 50 Extrovert 90 17 25 18 150 100 20 40 40 n = 200 a. Please construct the table for this example. b. What is the new null and alternative hypothesis? c. What are the expected counts (under the null hypothesis)? d. What are the observed minus expected counts? e. What is the test statistic? How many degrees of freedom? f. What is the critical value? What do you conclude?
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