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In: Statistics and Probability

A survey asked a random sample of adults in a nation two​ questions: (1) Would you...

A survey asked a random sample of adults in a nation two​ questions: (1) Would you favor or oppose a law which would require a person to obtain a police permit before he or she could buy a​ gun? (2) Do you favor or oppose the death penalty for persons convicted of​ murder? Results of the survey are available below. Does the sample evidence suggest the proportion of adults in this nation who favor permits for guns is different from the proportion of adult Americans who favor the death penalty for murder​ convictions? Use the alphaequals0.10 level of significance. Click here to view the survey results. LOADING... Click here to view the table of critical values of the chi-square distribution. LOADING... Let p1 represent the proportion who favor permits for guns and p2 represent the proportion who favor the death penalty. What are the null and alternative​ hypotheses? A. Upper H 0 : p 1 equals p 2 Upper H 1 : p 1 greater than p 2 B. Upper H 0 : p 1 equals p 2 Upper H 1 : p 1 less than p 2 C. Upper H 0 : p 1 not equals p 2 Upper H 1 : p 1 equals p 2 D. Upper H 0 : p 1 equals p 2 Upper H 1 : p 1 not equals p 2 Calculate the test statistic. chi Subscript 0 Superscript 2equals nothing ​(Round to two decimal places as​ needed.) Identify the critical value. chi Subscript alpha Superscript 2equals nothing ​(Round to two decimal places as​ needed.) What is the conclusion of the​ test? A. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the proportion who favor permits for guns is greater than the proportion who favor the death penalty. B. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the proportion who favor permits for guns is less than the proportion who favor the death penalty. C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the proportions are different. D. Reject the null hypothesis. There is sufficient evidence to conclude that the proportions are different. Click to select your answer(s).

Death Penalty

Favor

Oppose

Gun Laws

Favor

152

79

Oppose

64

16

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