Question

Can you please answer the following question

According to an online survey by Harris Interactive for job site CareerBuilder.com (InformationWeek.com, September 27, 2007), more than half of IT workers say they have fallen asleep at work. The same is also true for government workers. Assume that the following contingency table is representative of the survey results.

	Job Category
Slept on the Job?	IT Professional	Government Professional
Yes	155	256
No	145	144

a. Choose the competing hypotheses to determine whether sleeping on the job is associated with job category.

• H₀: Sleeping on the job is independent of the job category.; H_A: Sleeping on the job is dependent of the job category.

• H₀: Sleeping on the job is dependent on the job category.; H_A: Sleeping on the job is independent of the job category.

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

c. Find the p-value.

• p-value < 0.01

• 0.01 ≤ p-value < 0.025

• 0.025 ≤ p-value < 0.05

• 0.05 ≤ p-value < 0.10

• p-value ≥ 0.10

d. At the 5% significance level, can you conclude that sleeping on the job depends on job category?

• Yes, since the p-value is less than the significance level.

• Yes, since the p-value is more than the significance level.

• No, since the p-value is less than the significance level.

• No, since the p-value is more than the significance level.

Answer 1

The statistical software output for this problem is:

Hence,

a) H₀: Sleeping on the job is independent of the job category.; H_A: Sleeping on the job is dependent of the job category.

b) Test statistic = 10.757

c) p-value < 0.01

d) Yes, since the p-value is less than the significance level.