Question

A company with 2 delivery truck drivers is trying to figure out if one of the drivers is better than the other. They want to run a hypothesis test that the percent of times a driver made their delivery late is the same across the 2 drivers. They have collected the following data.

Refer to Driver #1 as Population 1 = Number of deliveries last month = 100 Number of deliveries late last month = 28

and Driver #2 as Population 2,= Number of deliveries last month = 140 Number of deliveries late last month = 28

NEED ANSWERS FOR E-M

(a) What is the estimate of the proportion in population 1?=.28

(b) What is the estimate of the proportion in population 2?=.2

(c) What is the estimate of the difference between the two population proportions?=.08

(d) What is the standard error of the difference between the two population proportions?=.0562

(e) Develop a 90% confidence interval for the difference between the two population proportions. ?

(f) Develop a 95% confidence interval for the difference between the two population proportions.

(g) Develop a 99% confidence interval for the difference between the two population proportions.

(h) What is the pooled estimate of p? (i) What is the test statistic (z -value)?

(j) What is the p-value?

(k) Given α = 0.10, what is your conclusion?

(l) Given α = 0.05, what is your conclusion?

(m) Given α  = 0.01, what is your conclusion?

Answer 1