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Chapter 11: Q.11.4 (page 459)

Regarding a population proportion:

a. What is it ?

b. What symbol is used for it?

Short Answer

Expert verified

(a) A population proportion is a statistical measure based on all units in the population or a quantifiable property of the population.

(b) The Greek letter π(pi) is widely used as a sign representing population proportion.

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that, We need to find that what is population proportion .

02

Part(a) Step 2: Explanation

Population proportion: A population proportion is a statistical measure based on all units in the population or a quantifiable property of the population.

The population proportion is the percentage of the total population that has a particular attribute.

03

Part (b) Step 1: Given information

Given in the question that, We need to find the symbol for population proportion

04

Part(b) Step 2: Explanation

The Greek letterπ (pi) is widely used as a sign representing population proportion.

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Most popular questions from this chapter

Margin of error=0.03

Confidence level=99%

Educated guess=0.5

(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5that of the educated guess.

(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.

The Organization for Economic Cooperation and Development (OECD) conducts studies on unemployment rates by country and publishes its findings in the document Main Economic Indicators. Independent random samples of 100and75 people in the civilian labor forces of Finland and Denmark, respectively, revealed 7and 3 unemployed, respectively. Find a 95% confidence interval for the difference between the unemployment rates in Finland and Denmark.

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=8

n=40

H0:p=0.3

H2:p<0.3

α=0.10

We have given a likely range for the observed value of a sample proportionp^

0.2orless

a. Based on the given range, identify the educated guess that should be used for the observed value of p^to calculate the required sample size for a prescribed confidence level and margin of error.

b. Identify the observed values of the sample proportion that will yield a larger margin of error than the one specified if the educated guess is used for the sample-size computation.

Literate Adults. Suppose that you have been hired to estimate the percentage of adults in your state who are literate. You take a random sample of 100adults and find that 96are literate. You then obtain a 95%confidence interval of

0.96±1.96·(0.96)(0.04)/100

or 0.922to 0.998. From it you conclude that you can be 95%confident that the percentage of all adults in your state who are literate is somewhere between 92.2%and 99.8%. Is anything wrong with this reasoning?
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