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Researchers want to determine whether all frozen pizzas have the same proportion of toppings regardless of the brand of pizza. To test this, they sampled randomly pizzas of each brand and recorded their findings in the table.
Brand Topping
Pepperoni Sausage Onion Mushrooms
Digiorno 14 21 17 17
Tombstone 11 8 10 6
Red Baron® 17 13 14 11
Tony's 9 17 15 18
Part A: What are the correct degrees of freedom for this table? (2 points)

Part B: Calculate the expected count for the number of pepperoni for Red Baron® pizza. Show your work.

Part C: Is there sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza? Provide a statistical justification for your conclusion.

Respuesta :

The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.

How to calculate the degree of freedom?

The degree of freedom will be calculated thus:

= (Number of rows - 1) × (Number of columns - 1)

= (4 - 1)(4 - 1)

= 3 × 3 = 9

The expected amount for the number of pepperoni for Red Baron will be:

= (55 × 51) / 218

= 12.867

Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.

Learn more about degree of freedom on:

https://brainly.com/question/17305237

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