Question
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injurycriterion) units,
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injurycriterion) 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
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