Discuss the below:
M&Ms has more recently updated its color distribution pattern to Red: 13%, Yellow: 14%, Green: 16%, Orange 20%, Blue: 24%, Brown: 13%.
Perform hypothesis tests (at a 5% level of significance) to determine:
1. Are the class total proportions representative of the current (updated) listed proportions?
2. Which, if any, of the six groups had proportions that are representative of the current (updated) proportions?
3. Which, if any, of the six groups had proportions that are representative of the CLASS proportions?
4. Test your personal M&M sample. was it representative of the CLASS proportions?
Since much of the setup within each question is repetitive, you do not need to repeat all 5-steps completely for each group individually, but make sure to clearly identify the type of test, your null and alternative hypotheses for each question, the critical value, and show (in Excel) or explain (on the calculator) the calculation of your test statistics. Answer the original questions with supported conclusions.
| TEAM |
red |
yellow |
green |
orange |
blue |
brown |
total |
| T2 |
70 |
84 |
103 |
129 |
138 |
79 |
603 |
| D2 |
171 |
172 |
252 |
276 |
254 |
185 |
1310 |
| S2 |
109 |
117 |
122 |
169 |
143 |
117 |
777 |
| M2 |
31 |
34 |
57 |
80 |
97 |
26 |
325 |
| TA |
99 |
75 |
107 |
136 |
109 |
61 |
587 |
| RA |
44 |
37 |
35 |
51 |
61 |
39 |
267 |
|
|
|
|
|
|
|
|
| CLASS Totals |
524 |
519 |
676 |
841 |
802 |
507 |
3869 |
|
|
|
|
|
|
|
|
| Worksheet % |
20% |
20% |
10% |
10% |
10% |
30% |
100.0% |
|
|
|
|
|
|
|
|
| Updated % (website) |
13% |
14% |
16% |
20% |
24% |
13% |
100.0% |
|
|
|
|
|
|
|
|
| CLASS % |
13.5% |
13.4% |
17.5% |
21.7% |
20.7% |
13.1% |
100.0% |