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

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, 240 of 400 executives answered Yes, while in a previous year survey, 197 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). Use z-table.
________ to ________

What is your interpretation of the interval estimate?

________more executives are predicting ___(an increase) or (a decrease)______in full-time jobs.

A) 0%

B) 5%

C) 10.75%

D) 14%

.

Select 4% 5% 1490

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

95% confidence interval results:

Hence,

95% confidence interval:

0.0389 to 0.1761

Interpretation: 10.75%; increase

The confidence interval shows that the difference may be from 4% to 18%

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 240 400 197 400 0.1075 0.034997991 0.038905198 0.1760948

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