Five years ago,a company found that 8% of its employees commuted to work by car.A survey investigates whether the current proportion of employees who commute by car to work is higher than it was five years ago.What are the null and alternative hypotheses? A)H0: p 0.08 HA: p

Question

Five years ago,a company found that 8% of its employees commuted to work by car.A survey investigates whether the current proportion of employees who commute by car to work is higher than it was five years ago.What are the null and alternative hypotheses? A)H0: p > 0.08 HA: p < 0.08 B)H0: p = 0.08 HA: p < 0.08 C)H0: p = 0.08 HA: p > 0.08 D)H0: p = 0.08 HA: p ≠ 0.08 E)H0: p < 0.08 HA: p = 0.08

Quizplus · Accepted Answer

The null hypothesis (H0) should always be the statement that we want to test, and the alternative hypothesis (HA) should always be the statement that opposes the null hypothesis. In this case, we want to investigate if the proportion of employees who commute by car to work is higher than it was five years ago, which means that we are testing if p > 0.08, where p is the proportion of employees who currently commute by car. Therefore, the null and alternative hypotheses should be:

H0: p = 0.08 (the proportion of employees who commute by car is the same as it was five years ago)
HA: p > 0.08 (the proportion of employees who commute by car is higher than it was five years ago)

The best choice is C because it has the correct null hypothesis and alternative hypothesis. Choices A, B, D, and E either have incorrect null hypotheses or alternative hypotheses.

Five Years Ago,a Company Found That 8% of Its Employees