We wish to estimate the population proportion of undergraduate students at a university that use dorm moving services, with a 90 % confidence level and a margin of error E=0.044. A) Read carefully the text and provide each of the following: The error is E= the confidence level is CL = %. B) Find the critical value za2 which is the zscore for which the right area is a2. za2= (Hint: keep in mind that a=1−the confidence level) C) If the sample proportion is unknown, how large should the sample size be? Such a sample size is n= . D) If the sample proportion is estimated by 0.366, how large should the sample size be? Such a sample size is n=

We wish to estimate the population proportion of undergraduate students at a university that use dorm moving services, with a 90 % confidence level and a margin of error E=0.044. A) Read carefully the text and provide each of the following: The error is E= the confidence level is CL = %. B) Find the critical value za2 which is the zscore for which the right area is a2. za2= (Hint: keep in mind that a=1−the confidence level) C) If the sample proportion is unknown, how large should the sample size be? Such a sample size is n= . D) If the sample proportion is estimated by 0.366, how large should the sample size be? Such a sample size is n=

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

We wish to estimate the population proportion of undergraduate students at a university that use dorm moving services, with a 90 % confidence level and a margin of error E=0.044.

Read carefully the text and provide each of the following:

The error is E=

the confidence level is CL =
%.

Find the critical value za2 which is the zscore for which the right area is a2.

za2=

(Hint: keep in mind that a=1−the confidence level)

C) If the sample proportion is unknown, how large should the sample size be?

Such a sample size is n=
.

D) If the sample proportion is estimated by 0.366, how large should the sample size be?

Such a sample size is n=
.

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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