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A DNA test is conducted to see if the evidence can clear asuspect. From the susp

ID: 2954502 • Letter: A

Question

A DNA test is conducted to see if the evidence can clear asuspect. From the suspect's perspective we are testing                      H0:DNA is that of the suspect                      H1:DNA is not that of the suspect Suppose that a Type I error is made. In this setting,what has occured? Suppose that the DNA test has highpower. What does this mean? **Reference the 4th edition of Introduction to Probabilityand Statistics by Milton and Arnold chapter 8 problem 24 Clarification: Definition 8.3.1 (Type I error and level ofsignificance) Consider a test of a hypothesis. A Type I error is anerror that is made when the null hypothesis is rejected when, infact, it is true. The probability of committing a Type Ierror is called the level of significance of the test and isdenoted by the Greek letter alpha (). Definition 8.3.2 (Type II error and beta) Consider a test of a hypothesis. A Type II error is anerror that is made when the null hypothesis is not rejected when,in fact, the research theory is true. The probability ofcommitting a Type II error is denoted by the Greek letter beta(). A DNA test is conducted to see if the evidence can clear asuspect. From the suspect's perspective we are testing                      H0:DNA is that of the suspect                      H1:DNA is not that of the suspect Suppose that a Type I error is made. In this setting,what has occured? Suppose that the DNA test has highpower. What does this mean? **Reference the 4th edition of Introduction to Probabilityand Statistics by Milton and Arnold chapter 8 problem 24 Clarification: Definition 8.3.1 (Type I error and level ofsignificance) Consider a test of a hypothesis. A Type I error is anerror that is made when the null hypothesis is rejected when, infact, it is true. The probability of committing a Type Ierror is called the level of significance of the test and isdenoted by the Greek letter alpha (). Definition 8.3.2 (Type II error and beta) Consider a test of a hypothesis. A Type II error is anerror that is made when the null hypothesis is not rejected when,in fact, the research theory is true. The probability ofcommitting a Type II error is denoted by the Greek letter beta(). Consider a test of a hypothesis. A Type II error is anerror that is made when the null hypothesis is not rejected when,in fact, the research theory is true. The probability ofcommitting a Type II error is denoted by the Greek letter beta().

Explanation / Answer

Are there any numbers given? What is a "Type 1" error?

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