asty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the toppings chosen. Data was gathered for the last 300 customers and the results obtained using MINITAB are shown below: Exhibit 3 Expected counts are printed below observed counts Small Medium Large All Cheese 23 32 34 26.403 31.743 30.853 89 Tuna 34 35 36 31.150 ** 36.400 105 Pepperoni 32 40 34 31.447 37.807 36.747 * Total - All 89 107 104 300 Chi-sq = 0.43868 + *** + 0.320922 + 0.260754+ 0.16028 + 0.004396 + 0.009736 + 0.12725 + 0.205302 = 1.5293 Define the null and alternative hypotheses of the χ2 test for the above Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working What is the degree of freedom for this test?
asty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the toppings chosen. Data was gathered for the last 300 customers and the results obtained using MINITAB are shown below: Exhibit 3 Expected counts are printed below observed counts Small Medium Large All Cheese 23 32 34 26.403 31.743 30.853 89 Tuna 34 35 36 31.150 ** 36.400 105 Pepperoni 32 40 34 31.447 37.807 36.747 * Total - All 89 107 104 300 Chi-sq = 0.43868 + *** + 0.320922 + 0.260754+ 0.16028 + 0.004396 + 0.009736 + 0.12725 + 0.205302 = 1.5293 Define the null and alternative hypotheses of the χ2 test for the above Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working What is the degree of freedom for this test?
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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Tasty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the toppings chosen. Data was gathered for the last 300 customers and the results obtained using MINITAB are shown below:
Exhibit 3
Expected counts are printed below observed counts
|
Small |
Medium |
Large |
All |
Cheese |
23 |
32 |
34 |
|
26.403 |
31.743 |
30.853 |
89 |
|
Tuna |
34 |
35 |
36 |
|
31.150 |
** |
36.400 |
105 |
|
Pepperoni |
32 |
40 |
34 |
|
31.447 |
37.807 |
36.747 |
* |
|
Total - All |
89 |
107 |
104 |
300 |
Chi-sq = |
0.43868 + |
*** + |
0.320922 + |
|
|
0.260754+ |
0.16028 + |
0.004396 + |
|
|
0.009736 + |
0.12725 + |
0.205302 = |
1.5293 |
- Define the null and alternative hypotheses of the χ2 test for the above
- Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working
- What is the degree of freedom for this test?
- Estimate the p-value for this
- State the conclusion for the test. Give reason for your answer.
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