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.

Question

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.

Quizplus · Accepted Answer

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.

A Simple Random Sample of 100 College Students Was Interviewed