If the sample size n is large, and the true success proportion is not too close to 0 or 1, then the sample proportion p_hat behaves approximately a. normal with mean 0 and standard deviation 1. b. normal with mean p and standard deviation 1. c. normal with mean p and standard deviation sqrt(p(1-p)/n). d. normal with mean p and standard deviation 0.

If the sample size n is large, and the true success proportion is not too close to 0 or 1, then the sample proportion p_hat behaves approximately a. normal with mean 0 and standard deviation 1. b. normal with mean p and standard deviation 1. c. normal with mean p and standard deviation sqrt(p(1-p)/n). d. normal with mean p and standard deviation 0.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

If the sample size n is large, and the true success proportion is not too close to 0 or 1, then the sample proportion p_hat behaves approximately
a. normal with mean 0 and standard deviation 1.
b. normal with mean p and standard deviation 1.
c. normal with mean p and standard deviation sqrt(p(1-p)/n).
d. normal with mean p and standard deviation 0.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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