Using the ROI data set: For each of the 2 majors consider the ‘School Type’ colu

Question

Using the ROI data set:

For each of the 2 majors consider the ‘School Type’ column. Assuming the requirements are met, construct a 90% confidence interval for the proportion of the schools that are ‘Private’. Be sure to interpret your results.

For each of the 2 majors construct a 95% confidence interval for the mean of the column ‘Annual % ROI’. Be sure to interpret your results.

Business ROI   

Engineering ROI

School Type Cost 30 Year ROI Annual ROI Private $221,700.00 $2,412,000.00 8.70% Private $213,000.00 $2,064,000.00 8.30% Private $230,100.00 $1,949,000.00 7.90% Private $222,600.00 $1,947,000.00 8.00% Private $225,800.00 $1,938,000.00 8.00% Public $87,660.00 $1,937,000.00 11.20% Private $224,900.00 $1,915,000.00 7.90% Private $221,600.00 $1,878,000.00 7.90% Public $125,100.00 $1,854,000.00 9.80% Private $215,700.00 $1,794,000.00 7.90% Public $92,530.00 $1,761,000.00 10.60% Private $217,800.00 $1,752,000.00 7.70% Public $89,700.00 $1,727,000.00 10.70% Private $229,600.00 $1,716,000.00 7.50% Public $101,500.00 $1,703,000.00 10.20% Public $115,500.00 $1,694,000.00 9.70% Public $104,500.00 $1,690,000.00 10.10% Public $69,980.00 $1,685,000.00 11.50% Private $219,400.00 $1,676,000.00 7.60% Public $64,930.00 $1,668,000.00 11.70%

Explanation / Answer

The 95% confidence interval for the proportion of private is (0.332,0.768)

calculation shown below

Note: Please ask one question in one post

Confidence Interval Estimate for the Proportion Data Sample Size 20 Number of Successes 11 Confidence Level 95% Intermediate Calculations Sample Proportion 0.55 Z Value -1.95996398 Standard Error of the Proportion 0.111242977 Interval Half Width 0.218032229 Confidence Interval Interval Lower Limit 0.331967771 Interval Upper Limit 0.768032229

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