State H 0 and H 1 H 0 : H 1 : Select appropriate statistical test: Chi-Square te
ID: 3322548 • Letter: S
Question
State H0 and H1
H0:
H1:
Select appropriate statistical test: Chi-Square test. Test of independence
Indicate whether test will be directional or nondirectional: non directional
Specify alpha, N, and df (if appropriate)
Use SPSS to determine X^2 observed
Determine critical value for test by using P-Value from SPSS
Compare observed and critical values and make appropriate decision (Reject H0 or Fail to Reject H0)
State conclusion in words
A researcher wants to determine if vehicle preference is related to age. A survey of 200 people produced the following data.
Age group
Car
Truck
SUV
younger
40
50
10
older
50
10
40
Conduct an appropriate statistical test using SPSS and an alpha level of .05. Submit the printout and don't forget to indicate your conclusion about whether vehicle preference is related to age.
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Age Group * Vehicle Preference
200
100.0%
0
0.0%
200
100.0%
Age Group * Vehicle Preference Cross tabulation
Count
Vehicle Preference
Total
Car
Truck
SUV
Age Group
Younger
40
50
10
100
Older
50
10
40
100
Total
90
60
50
200
Chi-Square Tests
Value
df
Asymptotic Significance (2-sided)
Pearson Chi-Square
45.778a
2
.000
Likelihood Ratio
49.498
2
.000
Linear-by-Linear Association
3.015
1
.082
N of Valid Cases
200
Age group
Car
Truck
SUV
younger
40
50
10
older
50
10
40
Explanation / Answer
H0:There is no relation between age and vehicle preference
H1:There is a relation between age and vehicle preference
alpha:5%
Test statsic:
chi square=45.778
conclusion:
P value=0.000 0.05, we reject the H0.
Hence there is sufficient evidence to teject the claim.
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