Question

Use the technology​ display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic​ (head injury​ criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim.

Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car​ (foreign, domestic) and size of the car​ (small, medium,​ large). What do you​ conclude?

What are the null and alternative​ hypotheses?
A. Ho​: Head injury measurements are not affected by an interaction between type of car    and size of the car.
   H1​: Head injury measurements are affected by an interaction between type of    car and size of the car.

B. Ho​: Head injury measurements are affected by an interaction between type of car    and size of the car.
H1​: Head injury measurements are not affected by an interaction between type of car and size of the car.

C. Ho​: Head injury measurements are not affected by type of car.
H1​: Head injury measurements are affected by type of car.

D. Ho​: Head injury measurements are not affected by size of car.
H1​: Head injury measurements are affected by size of car.

Find the test statistic.

F = _____________

​(Round to two decimal places as​ needed.)

Determine the​ P-value.

​P-value = __________​

(Round to three decimal places as​ needed.)

Determine whether there is sufficient evidence to support the given alternative hypothesis.

Since the​ P-value is (1)___________0.10​, (2)__________Ho. There is (3)_______evidence to support the alternative hypothesis. Conclude that there (4)________appear to be an effect from an interaction between the type of car​ (foreign or​ domestic) and whether the car is​ small, medium, or large.

_____________________________________________________
5: Data Table

   Size of Car

Small    Medium    Large

   Foreign 291    250    340

548    501    696

   507 396    333

   Domestic    408    472    217

   374    368    331

370    345    168

_____________________________________________________

_____________________________________________________

Source    DF SS MS F P
Type    1    36360    36360.1 2.42    0.146
Size    2    14396    7198.2    0.48 0.630
Interaction    2 41221 20610.7 1.37 0.290
Error    12 180113    15009.4

Total 17    272091

_____________________________________________________

Find the correct answer below:

(1) less than or equal to
   greater than
(2) reject
   fail to reject
(3) sufficient
   insufficient
(4) does not
   does

Answer 1