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Chapter 11: Q. 11.32 (page 460)

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

Margin of error=0.02

Confidence level=95%

Short Answer

Expert verified

The required sample size is2,401.

Step by step solution

01

Given information

The given are

Margin of error =0.02

Confidence level =95%

02

Explanation

The given data is

Margin of error=0.02

Confidence level =95%

When the margin of error is 0.02and the confidence level is 95%, calculate the sample size.

With a 95%confidence level, the required value of za2from table areas under the standard normal curve is 1.96.

The sample size is

n=0.25za炉EE2

=0.251.960.022

=0.25(9,604)

=2,401.

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Most popular questions from this chapter

What important theorem in statistics implies that, for a large sample size, the possible sample proportions of that size have approximately a normal distribution?

Margin of error=0.02

Confidence level=90%

Educated guess=0.1

(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.

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=40

n=50

H0:p=0.6

Ha:p>0.6

伪=0.01

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.

Random drug testing. A Harris Poll asked Americans whether state should be allowed to conduct random drug tests on elected officials, of 21355respondents, 79%said "yes"

a. Determine the margin of error for a 99%confidence interval.

b. Without doing any calculation, indicate whether the margin of error is large or smaller for a 90%confidence interval. Explain your answer.
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