Question to test your Confidence Intervals for Population Proportion knowledge

Question

A study on corporate leadership compares the heights of CEO candidates and their opponents in 100100 board elections. In the study, it was found that in 6060 of the elections, the CEO candidate was taller than their opponent. The remaining 4040 elections had the opponent taller than the CEO candidate. Construct a 95%95\% confidence interval for the true proportion of CEO candidates who are taller than their opponents. Based on the results, does it appear that greater height is an advantage for CEO candidates? Why or why not?

Accepted Answer

﻿50.40%p69.60%50.40\%50.40%p69.60%﻿Yes, we can conclude that greater height is an advantage for CEO candidates since the entire confidence interval is above 50%50\%.

Answer

32.12%p48.17%32.12\%No. Greater height is not an advantage for CEO candidates since the entire confidence interval is below 50%50\%.

Answer

61.02%p72.18%61.02\%Yes, we can conclude that greater height is likely an advantage for CEO candidates since the entire confidence interval is above 60%60\%.

Answer

52.47%p65.49%52.47\%Yes, we can conclude that greater height is an advantage for CEO candidates since the entire confidence interval is above ﻿50%50\%50%﻿.

Confidence Intervals for Population Proportion: Videos & Practice Problems