A Businessweek/Harris survey asked senior executives at large corporations their

Question

A Businessweek/Harris 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, 230 of 400 executives answered Yes, while in a previous year survey, 194 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time (to 4 decimals).

____to _____

What is your interpretation of the interval estimate?

_________more executives are predicting an__________ in full-time jobs. The confidence interval shows the difference may be______ from to_________ .

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
Note: the standard error is calculated using separate estimates for the proportions

95% confidence interval results:

Hence,

95% confidence interval will be:

(0.0211, 0.1589)

Interpretation of interval estimate:

In the current survey, more executives are predicting an increase in full-time jobs. The confidence interval shows the difference may be from 2.11% to 15.89%

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