Sterling, a researcher at the Brown Institute for Criminal Justice, is concerned that court-appointed attorneys negotiate harsher plea deals for their clients than privately retained attorneys do. Sterling examines data from a randomly selected sample of cases that carried similar maximum sentences where the attorney was court-appointed, and another sample where the attorney was privately-retained, and recorded the plea deal sentences that were agreed to: Appointed Private 0-6 months 28 47 6-12 months Test Sterling's claim at a = 28 32 12-24 months 35 34 more than 24 months 43 32 = 0.05. Where necessary, round results to 4 decimal places.

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Chapter4: Equations Of Linear Functions
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b. Determine the test Statistic.
x² =
c. Determine the p-value.
p-value=
d. Make a decision.
Select an answer
e. Make a conclusion.
O The evidence supports the claim that plea deals negotiated by privately-retained attorneys are
better than plea deals negotiated by court-appointed attorneys.
O The evidence is not sufficient to support the claim that plea deals negotiated by privately-
retained attorneys are better than plea deals negotiated by court-appointed attorneys.
O There IS sufficient evidence to conclude that the distributions of plea deals negoiated by
court-appointed vs. private attorneys are not the same.
O There IS NOT sufficient evidence to conclude that the distributions of plea deals negoiated by
court-appointed vs. private attorneys are not the same.
There IS sufficient evidence to reject the claim that the plea deal negotiated and type of
attorney are independent.
O There IS NOT sufficient evidence to reject the claim that the plea deal negotiated and type of
attorney are independent.
Transcribed Image Text:b. Determine the test Statistic. x² = c. Determine the p-value. p-value= d. Make a decision. Select an answer e. Make a conclusion. O The evidence supports the claim that plea deals negotiated by privately-retained attorneys are better than plea deals negotiated by court-appointed attorneys. O The evidence is not sufficient to support the claim that plea deals negotiated by privately- retained attorneys are better than plea deals negotiated by court-appointed attorneys. O There IS sufficient evidence to conclude that the distributions of plea deals negoiated by court-appointed vs. private attorneys are not the same. O There IS NOT sufficient evidence to conclude that the distributions of plea deals negoiated by court-appointed vs. private attorneys are not the same. There IS sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent. O There IS NOT sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent.
Sterling, a researcher at the Brown Institute for Criminal Justice, is concerned that court-appointed
attorneys negotiate harsher plea deals for their clients than privately retained attorneys do. Sterling
examines data from a randomly selected sample of cases that carried similar maximum sentences where
the attorney was court-appointed, and another sample where the attorney was privately-retained, and
recorded the plea deal sentences that were agreed to:
0-6
months
Appointed
Private
6-12
months
28
47
28
43
32
32
Test Sterling's claim at a = 0.05. Where necessary, round results to 4 decimal places.
12-24
months
more than
24 months
35
34
a. Determine the null and alternative hypotheses.
O Ho: Plea deals negotiated by privately-retained attorneys are better than plea deals
negotiated by court-appointed attorneys.
HA: Plea deals negotiated by privately-retained attorneys are not better than plea deals
negotiated by court-appointed attorneys.
b. Determine the test Statistic.
x²
O Ho: The distribution of plea deals arranged by court-appointed attorneys is the same as the
distribution of plea deals arranged by privately-retained attorneys.
HA: The distribution of plea deals arranged by court-appointed attorneys is not the same as
the distribution of plea deals arranged by privately-retained attorneys.
c. Determine the p-value.
p-value
Ho: There is no relationship between plea deals and whether the attorney on the case is
privately-retained or court-appointed.
HA: There is a relationship between plea deals and whether the attorney on the case is
privately-retained or court-appointed.
Transcribed Image Text:Sterling, a researcher at the Brown Institute for Criminal Justice, is concerned that court-appointed attorneys negotiate harsher plea deals for their clients than privately retained attorneys do. Sterling examines data from a randomly selected sample of cases that carried similar maximum sentences where the attorney was court-appointed, and another sample where the attorney was privately-retained, and recorded the plea deal sentences that were agreed to: 0-6 months Appointed Private 6-12 months 28 47 28 43 32 32 Test Sterling's claim at a = 0.05. Where necessary, round results to 4 decimal places. 12-24 months more than 24 months 35 34 a. Determine the null and alternative hypotheses. O Ho: Plea deals negotiated by privately-retained attorneys are better than plea deals negotiated by court-appointed attorneys. HA: Plea deals negotiated by privately-retained attorneys are not better than plea deals negotiated by court-appointed attorneys. b. Determine the test Statistic. x² O Ho: The distribution of plea deals arranged by court-appointed attorneys is the same as the distribution of plea deals arranged by privately-retained attorneys. HA: The distribution of plea deals arranged by court-appointed attorneys is not the same as the distribution of plea deals arranged by privately-retained attorneys. c. Determine the p-value. p-value Ho: There is no relationship between plea deals and whether the attorney on the case is privately-retained or court-appointed. HA: There is a relationship between plea deals and whether the attorney on the case is privately-retained or court-appointed.
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