election. Although it is not known by the polling organization, p = 0.5 is the actual proportion of the population that prefers Candidate Y. (a) Give the numerical value of the mean of the sampling distribution of p̂. Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to the nearest hundredth.) s.d. = (c) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round all answers to the nearest hundredth.) In about 99.7% of all randomly selected samples of n = 400 from this population, the sample proportion preferring Candidate Y will be between and .

election. Although it is not known by the polling organization, p = 0.5 is the actual proportion of the population that prefers Candidate Y. (a) Give the numerical value of the mean of the sampling distribution of p̂. Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to the nearest hundredth.) s.d. = (c) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round all answers to the nearest hundredth.) In about 99.7% of all randomly selected samples of n = 400 from this population, the sample proportion preferring Candidate Y will be between and .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A polling organization polls n = 400 randomly selected registered voters to estimate the proportion of a large population that intends to vote for Candidate Y in an upcoming election. Although it is not known by the polling organization, p = 0.5 is the actual proportion of the population that prefers Candidate Y.

(a) Give the numerical value of the mean of the sampling distribution of p̂.
Mean =

(b) Calculate the standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to the nearest hundredth.)
s.d. =

(c) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round all answers to the nearest hundredth.)
In about 99.7% of all randomly selected samples of n = 400 from this population, the sample proportion preferring Candidate Y will be between and .

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