very time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false. Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon. Which of the following outcomes corresponds to a Type I error? You select the passenger for further inspection when the passenger has no weapon. You allow the passenger to board her flight when the passenger has no weapon. You select the passenger for further inspection when the passenger has a weapon. You allow the passenger to board her flight when the passenger has a weapon. Which of the following outcomes corresponds to a Type II error? You allow the passenger to board her flight when the passenger has no weapon. You select the passenger for further inspection when the passenger has a weapon. You select the passenger for further inspection when the passenger has no weapon. You allow the passenger to board her flight when the passenger has a weapon.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section: Chapter Questions

Problem 4CR

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Question

very time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.

Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.

Which of the following outcomes corresponds to a Type I error?

You select the passenger for further inspection when the passenger has no weapon.

You allow the passenger to board her flight when the passenger has no weapon.

You select the passenger for further inspection when the passenger has a weapon.

You allow the passenger to board her flight when the passenger has a weapon.

Which of the following outcomes corresponds to a Type II error?

You allow the passenger to board her flight when the passenger has no weapon.

You select the passenger for further inspection when the passenger has a weapon.

You select the passenger for further inspection when the passenger has no weapon.

You allow the passenger to board her flight when the passenger has a weapon.

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