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Chapter 11: Q.11.24 (page 460)

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.

Short Answer

Expert verified

(a) The sample proportion is0.5

(b) No sample proportion values have been detected.

Step by step solution

01

Part (a) Step 1: Given Information 

Given in the question that, the confidence interval is 0.7orlesswe have to identify the educated guess that should be used for the observed value ofp^to calculate the required sample size for a prescribed confidence level and margin of error.

02

Part (a) Step 2: Explanation  

The educated guess is the value that is closest to the midpoint of the probable range of 0.7orless.

As a result, the sample proportion is estimated to be0.5

03

Part (b) Step 1: Given Information  

Given in the question that, the confidence interval is 0.7orlesswe have to

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.

04

Part (b) Step 2: Explanation  

Does not result in a greater margin of error for the sample proportion of educated guesses in (a). As a result, no sample proportion values have been detected.

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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.

11.95 Explain the basic idea for performing a hypothesis test, based on independent samples, to compare two population proportions.

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a. At the 1 T significance level, do the data provide sufficient evidence to conclude that college graduates have a lower unemployment rate than high-school graduates?

b. Find and interpret a98% confidence interval for the difference in unemployment rates of college and high-school graduates.

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a. Determine and interpret the sample proportion.

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