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...

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:

i. Define the null and alternative hypotheses of the χ2 test for the above output.
ii. Find the missing values ‘*’, ‘**’, ‘***’
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.

Extracted text: 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 Реpperoni 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