į. Define the null and alternative hypotheses of the x2 test for the above output. il. Find the missing values *, ***, ***, Showing necessary working iii. What is the degree of freedom for this test? iv. Estimate the p-value for this test. v. State the conclusion for the test. Give reason for your answer. I"

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Author:Amos Gilat
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Question 4
Tasty Piza Ltd desires to know if the size of the pizzas order by their austomers depends on the
toppings chosen. Data was gathered for the last 300 austomers and the results obtained using
MINITAB are shown below.
Exhibit 3
Expected counts are printed below observed counts
Small
Medium
Large
All
23
32
34
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
Transcribed Image Text:Question 4 Tasty Piza Ltd desires to know if the size of the pizzas order by their austomers depends on the toppings chosen. Data was gathered for the last 300 austomers and the results obtained using MINITAB are shown below. Exhibit 3 Expected counts are printed below observed counts Small Medium Large All 23 32 34 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
į. Define the null and alternative hypotheses of the x2
test for the above output.
ii. Find the missing values *, **, ***, Showing necessary working
iii. What is the degree of freedom for this test?
iv. Estimate the p-value for this test.
v. State the conclusion for the test. Give reason for your answer.
Transcribed Image Text:į. Define the null and alternative hypotheses of the x2 test for the above output. ii. Find the missing values *, **, ***, Showing necessary working iii. What is the degree of freedom for this test? iv. Estimate the p-value for this test. v. State the conclusion for the test. Give reason for your answer.
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