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 carand size of the car.

H1: Head injury measurements are affected by an interaction between type ofcar and size of the car.

B.Ho: Head injury measurements are affected by an interaction between type of carand size of the car.

H1: Head injury measurements are not affected by an interaction between type ofcar 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

SmallMediumLarge

Foreign291250340

548501696

507396333

Domestic408472217

374368331

370345168

_____________________________________________________

_____________________________________________________

SourceDFSSMSFP

Type13636036360.12.420.146

Size2143967198.20.480.630

Interaction24122120610.71.370.290

Error1218011315009.4

Total17272091

_____________________________________________________

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