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Chapter 11: Q 11.23. (page 460)

In each of Exercises 11.19-11.24, we have given a likely range for the observed value of a sample proportion p^.

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

b. Ldentify 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.

0.4or greater

Short Answer

Expert verified

Part a)educated guess p^gis 0.5

Part b) the observed values of the sample proportion that will yield larger margin of error is none.

Step by step solution

01

Step 2:Given information

0.4or greater

02

Step 2:Explaination Part a)

Identify the educated guess when the range is 0.4or greater.

Educated guess for p^can be identified by which the value in the range is closest to 0.5Here, the value 0.5in the range is closest to 0.5. Hence, educated guess p^gis 0.5

03

Step 2:Explaination Part b)

Identify the observed values of the sample proportion that will yield larger margin of error.

The observed value of p^had turned out to be 0.5. Thus, there is no range for the observed values of the sample proportion that will yield larger margin of error. Hence, the observed values of the sample proportion that will yield larger margin of error is none.

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Most popular questions from this chapter

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="1651327118166" x=35,n=50,99%level

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