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Chapter 8: Q.62 (page 481)

When designing a study to determine this population proportion, what is the minimum number you would need to survey to be 90% confident that the population proportion is estimated to within 0.05 ?

Short Answer

Expert verified

The sample size isn=271.

Step by step solution

01

Given Information

The confident level is 90%and the error estimating is0.05.

02

Explanation

The sample size is

n=z伪2EBP2p(1-p)

The confident level is 90%,

伪2=1-0.902=0.05

z伪2=1.645

The estimated proportion is q=1-p,

Both are equal to 0.5because pq=0.5*0.5=0.25

n=1.6450.0520.25

n=271

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Most popular questions from this chapter

The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X=the age of a Winter Foothill College student.

___=15.

A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important.

Construct a 90% confidence interval, and state the confidence interval and the error bound.

If it were later determined that it was important to be more than 90% confident and a new survey was commissioned, how would it affect the minimum number you need to survey? Why?

Which distribution should you use for this problem?

Fill in the blanks on the graph with the areas, upper and lower limits of the confidence interval, and the sample mean.
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