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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 蟺(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 letter蟺 (pi) is widely used as a sign representing population proportion.

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Most popular questions from this chapter

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=10

n=40

role="math" localid="1651300220980" H0:p=0.3

Ha:p<0.3

role="math" localid="1651300430510" 伪=0.05

Prerequisites to this exercise are Exercises . Why do your graphs in parts (c) of those exercises illustrate the impact of increasing sample size on sampling error? Explain your answer.

Refer to the study on ordering vegetarian considered in Examples 11.8-11.10.

a. Without making a guess for the observed values of the sample proportions, find the common sample size that will ensure a margin of error of at most 0.01for a 90%confidence interval. Hint: Use Exercise 11.133.

b. Find a90%confidence interval for p1-p2if, for samples of the size determined in part (a), 38.3%of the men and 43.7%of the women sometimes order veg.

c. Determine the margin of error for the estimate in part (b), and compare it to the required margin of error specified in part (a).

Obtain a sample size that will ensure a margin of error of at most the one specified.

Margin of error=0.04

Confidence level=99%

Margin of error=0.02

Confidence level=95%

Educated guess=0.6

(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.
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