a. Explanation Calculation: It is given that 4.5 million of the 8.6 million gun purchase background checks are performed by FBI, and 4.1 million of the gun purchase background checks are performed by a state or local agency. The rejection rate among state and local agencies was 3%, when compared to 1.8% for FBI. i. The probability of event F can be obtained by the following formula: P ( F ) = Number of outcomes in F Number of outcomes in sample space Event F denotes the event that a randomly selected gun purchase background check is performed by FBI. Here, it is known that 4.5 million of the 8.6 million gun purchase background checks are performed by FBI. The required probability is given below: P ( F ) = 4.5 8.6 = 0.523 Thus, P ( F ) = 0.523 . ii. Event S denotes the event that a randomly selected gun purchase background check is performed by a state or local agency. Here, it is known that 4.1 million of the 8.6 million gun purchase background checks are performed by a state or local agency. The required probability is given below: P ( S ) = 4.1 8.6 = 0.477 Thus, P ( S ) = 0 b. To determine Evaluate P ( S | R ) using the probabilities from Part (a) and interpret the value in this context.

Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

5th Edition

ISBN: 9781305620711

Author: Roxy Peck, Chris Olsen, Jay L. Devore

Publisher: Cengage Learning

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter 6.6, Problem 72E

To determine

i. Compute the value, P(F).

ii. Compute the value, P(S).

iii. Compute the value, P(R|F).

iv. Compute the value, P(R|S).

To determine

Evaluate P(S|R) using the probabilities from Part (a) and interpret the value in this context.

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Chapter 6.6, Problem 71E

Chapter 6.6, Problem 73E

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Chapter 6 Solutions

Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

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i. Compute the value, P ( F ) . ii. Compute the value, P ( S ) . iii. Compute the value, P ( R | F ) . iv. Compute the value, P ( R | S ) .

Solution Summary: The author explains that 4.5 million of the 8.6 million gun purchase background checks are performed by FBI and 4.1 million by a state or local agency.

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i. Compute the value, P(F).

ii. Compute the value, P(S).

iii. Compute the value, P(R|F).

iv. Compute the value, P(R|S).

Evaluate P(S|R) using the probabilities from Part (a) and interpret the value in this context.

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Chapter 6 Solutions

i. Compute the value, P ( F ) . ii. Compute the value, P ( S ) . iii. Compute the value, P ( R | F ) . iv. Compute the value, P ( R | S ) .

Solution Summary: The author explains that 4.5 million of the 8.6 million gun purchase background checks are performed by FBI and 4.1 million by a state or local agency.

Concept explainers

Videos

i. Compute the value, P(F). ii. Compute the value, P(S). iii. Compute the value, P(R|F). iv. Compute the value, P(R|S).

Evaluate P(S|R) using the probabilities from Part (a) and interpret the value in this context.

Want to see the full answer?

Chapter 6 Solutions

i. Compute the value, P(F).

ii. Compute the value, P(S).

iii. Compute the value, P(R|F).

iv. Compute the value, P(R|S).