A random sample of 800 adults was asked: “Do you believe current sentencing laws for non-violent crimes are too lenient, too strict, or just right?” The polling company compiled the data and separated the respondents by their education level. Is there evidence that opinion about sentencing laws for non-violent crimes is related to education level? Write appropriate hypotheses and check conditions.   Suppose the expected counts had not been given. Show how to calculate the expected count in the first cell (106.01).   How many degrees of freedom?   State your complete conclusion in context.

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A random sample of 800 adults was asked: “Do you believe current sentencing laws for non-violent crimes are too lenient, too strict, or just right?” The polling company compiled the data and separated the respondents by their education level. Is there evidence that opinion about sentencing laws for non-violent crimes is related to education level?

  1. Write appropriate hypotheses and check conditions.

 

  1. Suppose the expected counts had not been given. Show how to calculate the expected count in the first cell (106.01).

 

  1. How many degrees of freedom?

 

  1. State your complete conclusion in context.
Right
182
Strict
Lenient
Total
High school
93
107
382
106.01
87.38
188.61
2-year
27
19
56
102
28.31
23.33
50.36
4-year
82
50
140
272
75.48
62.22
134.30
Adv. degree
20
7
17
44
12.21
10.07
21.73
Total
222
183
395
800
x =
1.60 + 4.40 +
0.23 +
0.63 +
0.56 + 2.40 + 0.24 +
0.06 + 0.80 +
4.97 + 0.93 + 1.03 = 17.86
P = 0.0066
||
Transcribed Image Text:Right 182 Strict Lenient Total High school 93 107 382 106.01 87.38 188.61 2-year 27 19 56 102 28.31 23.33 50.36 4-year 82 50 140 272 75.48 62.22 134.30 Adv. degree 20 7 17 44 12.21 10.07 21.73 Total 222 183 395 800 x = 1.60 + 4.40 + 0.23 + 0.63 + 0.56 + 2.40 + 0.24 + 0.06 + 0.80 + 4.97 + 0.93 + 1.03 = 17.86 P = 0.0066 ||
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