An urban planning group is interested in estimating the difference in mean household income between two neighbourhoods. They obtain the following 95% confidence interval: 95% CI for difference: (-5693, -4107).
Which of the following is true?
A) This is a paired design.
B) There is no significant difference in the mean household incomes between the two neighbourhoods.
C) There is a significant difference in the mean household incomes between the two neighbourhoods.
D) This is a paired design and there is no significant difference in the mean household incomes between the two neighbourhoods.
E) This is a paired design and there is a significant difference in the mean household incomes between the two neighbourhoods.

Question

Quizplus · Accepted Answer

The confidence interval for the difference in mean household income between the two neighbourhoods (-5693, -4107) does not include 0, which means that the difference is statistically significant at the 95% level of confidence. Therefore, we can conclude that there is a significant difference in the mean household incomes between the two neighbourhoods. The question does not indicate whether this is a paired or independent design, so we cannot choose options A or D. Option B is incorrect because the confidence interval does not include 0. Therefore, the correct choice is C.

An Urban Planning Group Is Interested in Estimating the Difference