Does the data provide evidence of an association between age and opinion of the band? Justify your answer.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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C) Does the data provide evidence of an association between age and opinion of the band? Justify your answer.
2.
Do people's opinions of the alt-rock band Coastal Surface depend on their age? Here are some data that
address this question.
Age
11-14 years
15-18 years
19-22 years
Total
Like
=
18
38
40
96
Opinion of band
Dislike
30
10
67
107
107250 = 42.8%
dislikce the band.
47/250 = 18.8% are not sure. ✓
Uncertain
15
Percent
17
15
47
Total
63
(a) Compute the marginal distribution of people's opinions of the band in percents.
96/250
38.4% like the band.
70.0
60.0
50.0
40.0
30.0
20.0
10.0
0.0
65
122
250
(b) The graph at the right compares several conditional distributions for these data. Show the calculations that
helped produce the bars for the 11-14 years age group.
18/63 = 28.6% of 11-14 like it. ~
3063 = 47.6% of 11-14 dislike it.
15/63= 23,8% of 11-14 are not ✓
sure.
11-14 years 15-18 years 19-22 years
Age
Opinion
Like
Dislike
Uncert
Transcribed Image Text:2. Do people's opinions of the alt-rock band Coastal Surface depend on their age? Here are some data that address this question. Age 11-14 years 15-18 years 19-22 years Total Like = 18 38 40 96 Opinion of band Dislike 30 10 67 107 107250 = 42.8% dislikce the band. 47/250 = 18.8% are not sure. ✓ Uncertain 15 Percent 17 15 47 Total 63 (a) Compute the marginal distribution of people's opinions of the band in percents. 96/250 38.4% like the band. 70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.0 65 122 250 (b) The graph at the right compares several conditional distributions for these data. Show the calculations that helped produce the bars for the 11-14 years age group. 18/63 = 28.6% of 11-14 like it. ~ 3063 = 47.6% of 11-14 dislike it. 15/63= 23,8% of 11-14 are not ✓ sure. 11-14 years 15-18 years 19-22 years Age Opinion Like Dislike Uncert
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