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Chapter 11: Q.3 (page 480)

Explain what each phrase means in the context of inferences for a population proportion.

a. Number of successes

b. Number of failures

Short Answer

Expert verified

(a)The number of successful members in the sample is equal to the number of members who have the requested property.

(b) The number of failures refers to the number of people in the sample that lack the required property.

Step by step solution

01

Part(a) Step 1: Given information

Given in the question that, Given in the question that, we need to explain meaning of the phrase Number of successes in the context of inferences for a population proportion.

02

Part(a) Step 2: Explanation

If the number of individuals in the sample who have the specified attribute is greater than one.

As a result, the number of successful members in the sample is equal to the number of members who have the requested property.

03

Part (b) Step 1: Given information

Given in the question that, we need to explain meaning of the phrase Number of failures in the context of inferences for a population proportion.

04

Part(b) Step 2: Explanation

If the sample has a large number of members who do not have the specified attribute.

As a result, the number of failures refers to the number of people in the sample that lack the required property.

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Most popular questions from this chapter

Margin of error=0.04

Confidence level=99%

Educated guess=0.3

(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.

In this Exercise, we have given the number of successes and the sample size for a simple random sample from a population. In each case,

a. use the one-proportion plus-four z-interval procedure to find the required confidence interval.

b. compare your result with the corresponding confidence interval found in Exercise 11.25-11.30, if finding such a confidence interval was appropriate.

role="math" localid="1651326935007" x=10,n=40,90%level

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.

Getting a Job. The National Association of Colleges and Employers sponsors the Graduating Student and Alumni Survey. Part f the survey gauges student optimism in landing a job after graduation. According to one year's survey results, published in American Demographics, the 1218respondents, 733 said that they expected difficulty finding a job. Note: In this problem and the next, round your proportion answers to four decimal places.

a. Use these data to find and interpret a 95% confidence interval for the proportion of students who expect difficulty finding a job.

b. Find the margin of error for the estimate of p.

c. Express the confidence interval in the form point estimate ± margin of error.

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

0.7orless

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.
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