Table 1 below provides a relative frequency distribution for (reported) violent
ID: 3313347 • Letter: T
Question
Table 1 below provides a relative frequency distribution for (reported) violent crimes in 1995. For instance, in 1995, 32.3% of violent crimes were robberies. A random sample of 500 violent-crime reports from last year yielded the frequency distribution shown in Table 2. The researcher was interested in determining if the data provide sufficient evidence to conclude that last year’s distribution of violent crimes has changed from the 1995 distribution. What test should be used?
Table 1 Table 2
Distribution of violent crimes Sample results for 500 randomly selected
in the United States, 1995 violent-crime reports last year
Type of
Violent Crime
Relative
Frequency
Type of
Violent Crime
Frequency
Murder
0.012
Murder
9
Forcible Rape
0.054
Forcible Rape
26
Robbery
0.323
Robbery
144
Agg. Assault
0.611
Agg. Assault
321
1.00
500
A) One-Factor ANOVA B) Two-Factor ANOVA C) Chi-Square test of Independence D) Chi-Square Goodness of Fit Test
Type of
Violent Crime
Relative
Frequency
Type of
Violent Crime
Frequency
Murder
0.012
Murder
9
Forcible Rape
0.054
Forcible Rape
26
Robbery
0.323
Robbery
144
Agg. Assault
0.611
Agg. Assault
321
1.00
500
Explanation / Answer
Since we need to test whether the distributions are same or it has changed, we will use Chi-Square Goodness of Fit Test.
Hence,
Option D is correct.
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