(a) Is there evidence that field of study and smoking status are not independent? Use the accompanying Minitab output to test the relevant hypotheses using ? = 0.01. Find the test statistic and P-value. (Round your test statistic to three decimal places and your P-value to three decimal places.)
(a) Is there evidence that field of study and smoking status are not independent? Use the accompanying Minitab output to test the relevant hypotheses using ? = 0.01. Find the test statistic and P-value. (Round your test statistic to three decimal places and your P-value to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The authors of a paper carried out a study to investigate if smoking rates were different for college students in different majors. Each student in a large random sample of students at a university was classified according to field of study and whether or not they had smoked in the past 30 days. The data are given in the accompanying table.
Field of Study | Smoked in the Last 30 Days |
Did Not Smoke in Last 30 Days |
---|---|---|
1. Undeclared | 179 | 489 |
2. Art, design, performing arts | 149 | 336 |
3. Humanities | 197 | 454 |
4. Communication, languages | 233 | 388 |
5. Education | 56 | 170 |
6. Health sciences | 227 | 717 |
7. Mathematics, engineering, sciences |
245 | 924 |
8. Social science, human services | 306 | 594 |
9. Individualized course of study | 134 | 260 |
(a)
Is there evidence that field of study and smoking status are not independent? Use the accompanying Minitab output to test the relevant hypotheses using
Chi-Square Test: Smoked, Did Not Smoke
? = 0.01.
(Hint: See Example 14.10.)Find the test statistic and P-value. (Round your test statistic to three decimal places and your P-value to three decimal places.)
Expected counts are printed below observed counts | |||
---|---|---|---|
Chi-Square contributions are printed below expected counts | |||
Smoked | Did Not Smoke | Total | |
1 | 179 | 489 | 668 |
190.32 | 477.68 | ||
0.673 | 0.268 | ||
2 | 149 | 336 | 485 |
138.18 | 346.82 | ||
0.847 | 0.337 | ||
3 | 197 | 454 | 651 |
185.48 | 465.52 | ||
0.716 | 0.285 | ||
4 | 233 | 388 | 621 |
176.93 | 444.07 | ||
17.768 | 7.079 | ||
5 | 56 | 170 | 226 |
64.39 | 161.61 | ||
1.093 | 0.436 | ||
6 | 227 | 717 | 944 |
268.96 | 675.04 | ||
6.545 | 2.608 | ||
7 | 245 | 924 | 1169 |
333.06 | 835.94 | ||
23.284 | 9.277 | ||
8 | 306 | 594 | 900 |
256.42 | 643.58 | ||
9.586 | 3.819 | ||
9 | 134 | 260 | 394 |
112.26 | 281.74 | ||
4.212 | 1.678 | ||
Total | 1726 | 4332 | 6058 |
Chi-Sq = 90.514, DF = 8, P-Value = 0.000 |
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