Statistical Data Analysis: 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 Female Male Too Lenient 15 40 About Right 50 35 Too Harsh 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

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II.
Statistical Data Analysis: 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
Female
Male
Too Lenient
15
40
About Right
50
35
Too Harsh
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?
Transcribed Image Text:II. Statistical Data Analysis: 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 Female Male Too Lenient 15 40 About Right 50 35 Too Harsh 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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