A large pizza chain has conducted a study to determine if the types of preferred pizza are independent of the region of the country where it is sold.  One hundred random samples are selected in each region of the country with the following results.                                 Areas Thin not Spicy Thin spicy Thick Crust not Spicy Thick Crust Spicy Total Samples Northeast       30       10        40       20     100 Northwest       25       20        45       10     100 Southwest       25       25        25       25     100 Southwest       15       30        10       45     100   Totals       95       85       120      100     400 Set up hypotheses to test if these preferred types of pizza are independent of the region of the country in which they are sold. Perform the appropriate statistical test to obtain your results. Calculate the p value and fully explain your results.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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  1. A large pizza chain has conducted a study to determine if the types of preferred pizza are independent of the region of the country where it is sold.  One hundred random samples are selected in each region of the country with the following results.

                               

Areas

Thin not Spicy

Thin spicy

Thick Crust not Spicy

Thick Crust Spicy

Total Samples

Northeast

      30

      10

       40

      20

    100

Northwest

      25

      20

       45

      10

    100

Southwest

      25

      25

       25

      25

    100

Southwest

      15

      30

       10

      45

    100

  Totals

      95

      85

      120

     100

    400

  1. Set up hypotheses to test if these preferred types of pizza are independent of the region of the country in which they are sold.
  2. Perform the appropriate statistical test to obtain your results.
  3. Calculate the p value and fully explain your results.
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