Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Click the icon to view the table. Determine the null and alternative hypotheses. O A. Ho: Pleading guilty reduces a defendant's chance of going to prison. H₁: Pleading guilty does not reduce a defendant's chance of going to prison. O B. Ho: Pleading guilty does not reduce a defendant's chance of going to prison. H₁: Pleading guilty reduces a defendant's chance of going to prison. OC. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea. H₁: The sentence (sent to prison or not sent to prison) is not independent of the plea. O D. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H₁: The sentence (sent to prison or not sent to prison) is independent of the plea. Determine the test statistic. x² = (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = (Round to four decimal places needed.) Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? O A. There is sufficient evidence to warrant rejection of the claim that the sentence independent of the plea. The results encourage pleas for guilty defendants. O B. There is not sufficient evidence to warrant rejection of the claim that the sentence independent of the plea. The results do not encourage pleas for guilty defendants. O C. There is not sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. O D. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results do not encourage pleas for guilty defendants.

3.

The table below summarizes data from a survey of a sample of women. Using a 0.05 significance​ level, and assuming that the sample sizes of 700 men and 400 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   458 345     Women who disagree   242 55       To view the chi-square distribution table, see image below. Identify the null and alternative hypotheses. Choose the correct answer below.   A. H0​: The proportions of​ agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1​: The proportions are the same.   B. H0​: The proportions of​ agree/disagree…

O O O O O A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Click the icon to view the data table. Determine the null and alternative hypotheses. OA. Ho: The amount of smoking is dependent upon seat belt use. H₁: The amount of smoking is not dependent upon seat belt use. OB. Ho: The amount of smoking is independent of seat belt use. H₁: The amount of smoking is not independent of seat belt use. OC. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are less likely than non-smokers to wear a seat belt. OD. Ho: Heavy smokers are less likely than non-smokers to wear a seat belt. H₁:…

Please find question details in the attached picture.

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree Women who disagree 597 337 303 63 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The response of the subject and the gender of the subject are independent. H,: The response of the subject and the gender of the subject are dependent. O B. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: : The proportions are the same. Họ: The proportions of…

A magazine subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of airline ticket purchased most often was for domestic or international travel. Sample data obtained are shown in the following table. Type of Ticket First class Business class Economy class Type of Flight Domestic 29 97 516 International 22 123 133 (a) Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight? State the null and alternative hypotheses. Ho: The type of ticket purchased is mutually exclusive from the type of flight. H₂: The type of ticket purchased is not mutually exclusive from the type of flight. Ho: The type of ticket purchased is independent of the type of flight. Ha : The type of ticket purchased is not independent of the type of flight. Ho: The type of ticket purchased is not independent of the type of flight. Ha: The type of ticket…

Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that encourage a guilty plea? you should Click the icon to view the table. Determine the null and alternative hypotheses. A. Ho: Pleading guilty does not reduce a defendant's chance of going to prison. H: Pleading guilty reduces a defendant's chance of going B. Ho: The sentence (sent to prison or not sent to prison) is More Info H,: The sentence (sent to prison or not sent to prison) is O C. Ho: Pleading guilty reduces a defendant's chance of goin H: Pleading guilty does not reduce a defendant's chance Guilty…

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 700 men and 300 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   409 256     Women who disagree   291 44     Identify the null and the alternative hypothesis. Test statistics? Critical Value? P-Value? Conclusion? Reject or fail to reject? There is or isn't sufficient evidence?

In the NFL, Coaches can throw "challenge" flags if they believe officials have made an incorrect call on the field. Then, based upon further analysis, the call is either overturned (because the referees were incorrect) or upheld (referees were correct). In the first eight weeks of last NFL season, there were 316 challenges made, with 154 of those calls overturned. The NFL team owners used this data to begin a lawsuit that claimed referees were wrong more than 50% of the time in challenged situations. They want to perform statistical analysis before filing that lawsuit. For the following question, select the answer which correctly responds. Using the analysis presented in previous questions about this claim, is the NFL owners' complaint merited? That is, should they proceed in filing the lawsuit? O Yes O No