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

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...

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