A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct? A) There is insufficient evidence to suggest that the tollbooths are not used in equal proportions. B) There is insufficient evidence to suggest that the tollbooths are used in equal proportions. C) There is sufficient evidence to suggest that the tollbooths are not used in equal proportions. D) There is sufficient evidence to suggest that the tollbooths are used in equal proportions. E) The tollbooths are used in equal proportion.
A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?
A) There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
B) There is insufficient evidence to suggest that the tollbooths are used in equal proportions.
C) There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
D) There is sufficient evidence to suggest that the tollbooths are used in equal proportions.
E) The tollbooths are used in equal proportion.
Answer
Answer: C) There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
Explanation: Since the p-value (0.008) is less than the significance level (0.05), we have sufficient evidence to reject the null hypothesis and conclude that the tollbooths are not used in equal proportions.
Sourav
