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 have had prior 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 you should encourage a guilty plea? Guilty plea: Sent to prison: 435 Not sent to prison: 551 Not guilty plea: Sent to prison: 64 Not sent to prison: 50 Determine the null and alternative hypotheses: H0: H1: Determine the test statistic. X2=_____ Determine the P-value of the test statistic P-value=_____ 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. A. 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 B. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants C. There is not 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 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
Added by Thomas E.
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H1: The sentence is not independent of the plea. Now, we need to create a contingency table: | | Guilty Plea | Not Guilty Plea | Total | |-------------------|-------------|----------------|-------| | Sent to Prison | 435 | 64 Show moreā¦
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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 you should encourage a guilty plea? Determine the null and alternative hypotheses. A. H0: 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. B. H0: 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. C. H0: 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. D. H0: 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. Determine the test statistic. Ćā”2 = nothing (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = nothing (Round to four decimal places as 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? A. There is not 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. B. 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. 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. D. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. Guilty Plea Not Guilty Plea Sent to Prison 435 50 Not Sent to Prison 538 40
Adi S.
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? A. There is not 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. B. 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. 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. D. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants.
Sri K.
An individual is arrested for stealing and pleads not guilty at trial. The jury can only find him guilty if there is evidence beyond a reasonable doubt to reject the assumption of innocence. Describe what could occur if the jury makes a Type I error? The jury finds the individual innocent and he is released from jail, but he is actually guilty. The jury finds the individual guilty, he is put in jail, and he is actually guilty. The jury finds the individual innocent, he is released from jail, and he is actually innocent. The jury finds the individual guilty and he is put in jail, but he is actually innocent. A conclusion cannot be made based on the information given. In a test of the hypothesis H0: p = 0.6 against Ha: p > 0.6, the power of the test when p = 0.7 is greatest for which of the following? n = 45, ? = 0.10 n = 45, ? = 0.05 n = 50, ? = 0.10 n = 50, ? = 0.05 There is not enough information given to draw a conclusion.
Lucas F.
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