4. Explain how to solve step by step

Lucia, a researcher at the Clark Institute for Criminal Justice. is concemed that court-appointed attorneys negotiate harsher plea deals for their clients than privately retained attorneys do. Lucia examines data from a randomly selected sample of cases that carried similar maximu court-appointed. and another sample where the attorney was privately-retained, and recorded the plea deal sentences that were agreed to: 1'. sentences where the attorney was CI - 6 6 -12 12 - 24 more than months months months 24 months Appointed 34 4o 33 54 | Private 51 49 3? 3? Test Lucia's c.aim at o: = 0.01 . Where necessary, round results to 4 decimal places. a. Determine the null a 1d alternative hypotheses. {:21- 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. {:21- 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. Ci- Hg: 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. b. Determine the test Statistic. x2= c. Determine the p-value. p-value = I d. Make a decision. Select an answer V e. Make a conclusion. {:1- There IS sufficient evidence to conclude that the distributions of plea deals negoiated by court-appointed vs. private attomeys are not the same. Ci- There IS NOT sufficient evidence to conclude that the distributions of plea deals negoiated by court-appointed vs. private attomeys are not the same. '33:? The evidence supports the claim that plea deals negotiated by privately-retained attorneys are better than plea deals negotiated by court-appointed attorneys. CS- 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. {:21- There IS sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent. C- There IS NOT sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent