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Forensic evidence, such as DNA analysis and fingerprints, is often introduced as part of the evidence presented in criminal trials. A paper describes a
Forensic evidence, such as DNA analysis and fingerprints, is often introduced as part of the evidence presented in criminal trials. A paper describes a study to learn about how potential jurors view forensic evidence. Each person in a sample of 153 adult Americans was asked if they agreed with the following statement: "If forensic evidence suggests a defendant is guilty, this should be enough convict even if other evidence (e.g., eyewitness testimony, alibi) suggest otherwise." Fifty-nine responded that they agreed (either strongly agreed or somewhat agreed) with this statement. Suppos that it is reasonable to regard this sample as a random sample from the population of potential jurors and that you are interested in learning about the proportion of all potential jurors who agree wi the given statement. The following table is similar to the table that appears in Examples 8.4 and 8.5 and is meant to summarize what you know about the sampling distribution of p in the situation just described. The "What You Know" information has been provided. Complete the table by filling in the "How You Know It" column. What You Know The sampling distribution of p is centered at the actual (but unknown) value of the population proportion. An estimate of the standard deviation of p, which describes how much the p values spread out around the population is 0.0394. = P = P 59 59 1+ 153 153 p = 153 Op 59 153 59 153 153 59 0% = 153 153(1 59 153 153 59 59 1+ 153 153 153 59159 How You Know It
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