Question

A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 224 of 400 executives answered Yes, while in a previous year survey, 176 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time. (Use current year − previous year. Round your answer to four decimal places.)

to

What is your interpretation of the interval estimate?

The 95% confidence interval  ---Select--- is completely below contains is completely above zero. This suggests that the proportion of executives who are predicting an increase in full-time jobs for the current year is  ---Select--- higher lower than the proportion of executives who were predicting an increase in full-time jobs for the previous year.

Answer 1

The statistical software output for this problem is:

Hence,

95% confidence interval:

(0.0512, 0.1888)

The 95% confidence interval is completely above zero. This suggests that the proportion of executives who are predicting an increase in full-time jobs for the current year is higher than the proportion of executives who were predicting an increase in full-time jobs for the previous year.