Tasty Pizza Ltd desires to know if the size of 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 All Large 34 23 32 Cheese 26.403 31.743 30.853 89 34 35 36 Tuna 31.150 36.400 ** 105 32 40 34 Рерperoni 31.447 37.807 36.747 All 89 107 104 300 Chi-sq = 0.43868 + 0.76168 + *** 0.260754 + 0.16028 + 0.004396 + 0.009736 + 0.12725 + 0.205302 = 1.5293 i Define the null and alternative hypotheses of the X? test for the above output. i. Find the missing values *, "**', ***', showing necessary working. What is the degree of freedom for this test? Estimate the p-value for this test. State the sonclusion for the test. Giye reason for yowr answer. 111. 1v. Y.

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Tasty Pizza Ltd desires to know if the size of 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
34
All
23
32
Cheese
26.403
31.743
30.853
89
34
35
36
Tuna
31.150
36.400
**
105
32
40
34
Pepperoni
31.447
37.807
36.747
All
89
107
104
300
Chi-sq =
0.43868 +
***
0.76168 +
0.260754 +
0.16028 +
0.004396 +
0.009736 +
0.12725 +
0.205302 =
1.5293
i. Define the null and alternative hypotheses of the X? test for the above output.
ii. Find the missing values *, **, "***, showing necessary working.
What is the degree of freedom for this test?
Estimate the p-value for this test.
State the conclusion for the test. Give reason for your answe
111.
1v.
V.
swer.
Transcribed Image Text:Tasty Pizza Ltd desires to know if the size of 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 34 All 23 32 Cheese 26.403 31.743 30.853 89 34 35 36 Tuna 31.150 36.400 ** 105 32 40 34 Pepperoni 31.447 37.807 36.747 All 89 107 104 300 Chi-sq = 0.43868 + *** 0.76168 + 0.260754 + 0.16028 + 0.004396 + 0.009736 + 0.12725 + 0.205302 = 1.5293 i. Define the null and alternative hypotheses of the X? test for the above output. ii. Find the missing values *, **, "***, showing necessary working. What is the degree of freedom for this test? Estimate the p-value for this test. State the conclusion for the test. Give reason for your answe 111. 1v. V. swer.
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