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 *

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 2

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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