A chi-square test was conducted to investigate whether there is an association between a person’s favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was α=0.05, which of the following is the correct decision for this hypothesis test? A) There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping. B) There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping. C) There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping. D) There is proof that a person’s favorite ice cream topping is dependent on the person’s favorite ice cream flavor. E) There is proof that a person’s favorite ice cream topping is independent of the person’s favorite ice cream flavor.
A chi-square test was conducted to investigate whether there is an association between a person’s favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was α=0.05, which of the following is the correct decision for this hypothesis test?
A) There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
B) There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
C) There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping.
D) There is proof that a person’s favorite ice cream topping is dependent on the person’s favorite ice cream flavor.
E) There is proof that a person’s favorite ice cream topping is independent of the person’s favorite ice cream flavor.
Answer
Answer: B) There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
Explanation: With a p-value of 0.015, which is less than the significance level of 0.05, there is sufficient evidence to reject the null hypothesis and conclude an association between the variables.
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