Each person in a random sample of 500 low-income adult Americans (annual income less than $30,000) and each person in an independently selected random sample of 500 high-income adult Americans (annual income greater than $75,000) was asked whether they would consider buying an electric car if gas prices continue to rise.

In the low-income sample, 65% said that they would not buy an electric car no matter how high gas prices were to rise. In the high-income sample, 59% responded this way.

Assume the conditions for constructing a 90% confidence interval for a difference in proportions are met.

Calculate the lower & upper bounds of this interval. Show work with the appropriate formula.

Based on the interval you created, which of the following conclusions can be made about the difference in the proportion of all low-income vs. all high-income adult Americans who would say they would not buy an electric car no matter how high gas prices were to rise?

Show Your Work

A. There is convincing evidence of a difference between the two proportions because 0 is included in the interval

B. No conclusion can be made about a difference between the two proportions because this was a survey not an experiment

C. There is convincing evidence of a difference between the two proportions because 0 is not included in the interval

D. There is not convincing evidence of a difference between the two proportions because 0 is included in the interval

E. There is not convincing evidence of a difference between the two proportions because 0 is not included in the interval