The proportion of a population under the age of 18 is known to equal 0.42 (42%). a) Determine the probability the proportion of 100 randomly selected members of the population will be within 0.04 of the actual population proportion, i.e., ?(0.38 < ? < 0.46) b) Determine the probability the proportion of 500 randomly selected members of the population will be within 0.04 of the actual population proportion. c) Does this ensure the proportion for a larger sample of a population will be within closer to the population proportion than the proportion for a smaller sample? Explain your reasoning.

The proportion of a population under the age of 18 is known to equal 0.42 (42%). a) Determine the probability the proportion of 100 randomly selected members of the population will be within 0.04 of the actual population proportion, i.e., ?(0.38 < ? < 0.46) b) Determine the probability the proportion of 500 randomly selected members of the population will be within 0.04 of the actual population proportion. c) Does this ensure the proportion for a larger sample of a population will be within closer to the population proportion than the proportion for a smaller sample? Explain your reasoning.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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