complete the following statement: "The criminal justice system treats offenders...." The researchers found the following distribution of responses by gender of the respondent: Gender of Respondent Too Lenient About Right Too Harsh Female 15 50 35 Male 40 35 25 a. Is there a relationship between the gender of the respondent and perceptions of punishment severity? Use a 5% level of significance and outline each of the steps required in a test of statistical significance. b. Would your answer be different if the significance level were 0.01? Show the proof of your answer. c. What can you conclude about the relationship between gender and perceptions of punishment severity?
Solve each given problem using the appropriate test statistic.
1. A survey of public opinion about the criminal justice system asked respondents to complete the following statement: "The criminal justice system treats offenders...." The researchers found the following distribution of responses by gender of the respondent:
Gender of Respondent | Too Lenient | About Right | Too Harsh |
Female | 15 | 50 | 35 |
Male | 40 | 35 | 25 |
a. Is there a relationship between the gender of the respondent and perceptions of punishment severity? Use a 5% level of significance and outline each of the steps required in a test of statistical significance.
b. Would your answer be different if the significance level were 0.01? Show the proof of your answer.
c. What can you conclude about the relationship between gender and perceptions of punishment severity?
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