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[Solution Library] DY wonders whether the percentage of time on the road might influence who stays and who leaves. Find the 95% confidence interval for the

Question: D&Y wonders whether the percentage of time on the road might influence who stays and who leaves.

  1. Find the 95% confidence interval for the percentage of time employees stay on the road for those that stay at least 3 years with D&Y.

b. Find the 95% confidence interval for the percentage of time employees stay on the road for those that leave before 3 years.

c. Can we conclude that there is a statistical difference between the mean percentages of time on the road of those that stayed at least 3 years and those that did not? Test at the 10% level of significance.

d. Among all employees who travel less than the median (54%), find the 95% confidence interval for the proportion who stay with D&Y for at least 3 years.

e. Do the same for the employees that travel more than the median who have stayed beyond 3 years.

f. Then find the 95% confidence interval for the difference between proportions. From this confidence interval, can we conclude that there is a significant difference in the proportions?

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