Question

Use this information to answer the following 6 questions::

A city wants to know if a new advertising campaign, to make citizens aware of the dangers of drunk driving, has been effective. They count the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. The results are in this table:

Day of Week		After	Before
M		2	5
T		0	4
W		2	2
Th		1	4
F		8	6
S		7	14
Su		7	6

Assume that the number of stops of drunk drivers (before as well as after the campaign) is each normally distributed. Use the following notation:

μ(d): The mean of the difference in number of daily stops of drunk drivers between those days after and those days before the campaign.

1) Specify the null and alternative hypotheses using correct notations.

a. H(0): μ(d)≥0 Versus H(a): μ(d)<0

b. H(0): μ(d) < 0 Versus H(a): μ(d)≥0

2) What is the value of the test statistic?

Select one:

a. 1.44

b. 1.67

c. -1.67

d. -1.44

3) At α=0.05 what is the critical value of the test?

Select one:

a. -1.44

b. 1.44

c. -1.94

d. 1.94

4) At α=0.05 and using the correct critical value from the preceding question

Select one:

a. We reject H(0) in favor of H(a)

b. We do not reject H(0)

5) What is the p-value?

Select one:

a. 0.14529072

b. 0.01

c. 0.05

d. 0.07264536

6) Using the p-value approach, what is the correct statistical conclusion?

Select one:

a. Do not reject H(0)

b. Reject H(0) in favor of H(a)

Answer 1

1)

a. H(0): μ(d)≥0 Versus H(a): μ(d)<0
2)

test statistic =-1.67

optionC is correct

3)

c. -1.94

4)

b. We do not reject H(0)

5)

d. 0.07264536
6)

a. Do not reject H(0)