Asked by Julian Torres on Jun 03, 2024

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A simple random sample of 100 college students was interviewed.They were asked what size pizza they usually ordered and what their favorite topping was.The results are presented below. A simple random sample of 100 college students was interviewed.They were asked what size pizza they usually ordered and what their favorite topping was.The results are presented below.   What would be the null hypothesis for a chi-square test based on these data? A) Pizza topping and pizza size are independent. B) The average pizza size is the same for pepperoni,veggie,and cheese pizzas. C) The distribution of pizza topping is the same for small,medium,and large pizzas. D) The distribution of pizza size is different for the three different pizza toppings. What would be the null hypothesis for a chi-square test based on these data?

A) Pizza topping and pizza size are independent.
B) The average pizza size is the same for pepperoni,veggie,and cheese pizzas.
C) The distribution of pizza topping is the same for small,medium,and large pizzas.
D) The distribution of pizza size is different for the three different pizza toppings.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, typically tested against an alternative hypothesis in statistical analysis.

Chi-square Test

A method of statistical analysis used to establish if a significant correlation exists between two variables classified categorically.

Pizza Topping

Pizza topping refers to any ingredient added on top of the pizza dough and sauce before baking, such as cheese, pepperoni, or vegetables.

  • Apply the principle of the null hypothesis in a range of situations to scrutinize associations or differences among groups.
  • Determine the right null hypothesis for certain investigative questions or analytical operations.
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AE
Aibiike EsengulovaJun 10, 2024
Final Answer :
A
Explanation :
The null hypothesis for a chi-square test is always that there is no relationship between the two variables being studied. In this case, the two variables are pizza topping and pizza size. Therefore, the correct null hypothesis is that pizza topping and pizza size are independent.