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

Answer:

Null hypothesis: Head injuries measurements are not affected by the interaction between type of type of car and size of the car.

Alternative hypothesis: Head injuries measurements are affected by the interaction between the type of car and the size of the car.

Option A is correct

Test statistic, F = 1.37

p value = 0.290

Alpha = 0.10

Since p value is greater than 0.10, fail to reject the null hypothesis.

There is in sufficient evidence to support the alternative hypothesis conclude that that does not appear to be an effect from an interaction between the type of car and whether the car is small medium or large