Undergraduate students at Miami University in​ Oxford, Ohio, were surveyed in order to evaluate the effect of gender and price on purchasing a pizza from Pizza Hut. Students were told to suppose that they were planning to have a large​ two-topping pizza delivered to their residence that evening. The students had to decide between ordering from Pizza Hut at a reduced price of​ $8.49 (the regular price for a large​ two-topping pizza from Oxford Pizza Hut at the time was​ $11.49) and ordering a pizza from a different pizzeria. The results from this question are summarized in the accompanying contingency table. Complete parts​ (a) through​ (d). GENDER    Pizza Hut    Other Female              4             12 Male                  8              16 a.

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12.EOC.56-E

Undergraduate students at Miami University in​ Oxford, Ohio, were surveyed in order to evaluate the effect of gender and price on purchasing a pizza from Pizza Hut. Students were told to suppose that they were planning to have a large​ two-topping pizza delivered to their residence that evening. The students had to decide between ordering from Pizza Hut at a reduced price of​ $8.49 (the regular price for a large​ two-topping pizza from Oxford Pizza Hut at the time was​ $11.49) and ordering a pizza from a different pizzeria. The results from this question are summarized in the accompanying contingency table. Complete parts​ (a) through​ (d).

GENDER    Pizza Hut    Other
Female              4             12
Male                  8              16

a. 
Using a 0.05 level of​ significance, is there evidence of a difference between males and females in their pizzeria​ selection?
b. What is your answer to​ (a) if twelve of the male students selected Pizza Hut and twelve selected another​ pizzeria?
 
 Second table               
                      Price
PIZZERIA    $8.49    $11.49    $14.49
Pizza Hut       12           6               3
Other              29          21            25
c. Using a 0.05 level of significance and using the data in the second contingency table, is there evidence of a difference in pizzeria selection based on price?
d. Determine the p-value in (c) and interpret its meaning.
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