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Chapter 8: Q.127 (page 491)

Use the following information to answer the next three exercises: According to a Field Poll, 79% of California adults (actual results are 400 out of 506 surveyed) feel that “education and our schools” is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education and the schools are one of the top issues facing California.

The error bound is approximately _____.

a. 1.581

b. 0.791

c. 0.059

d. 0.030

Short Answer

Expert verified

The error bound is approximately (d)0.030

Step by step solution

01

introduction

The edge or error relies upon the certainty level, example size, and the assessed (from the example) extent of achievements.

02

explanation

we have n=506and x=400

role="math" localid="1650879118150" P'=0.79

At α=0.01,Zc=1.645

The error bound is,

role="math" localid="1650879131724" ZcP'(1−P')n

=1.6450.79×0.21506

=0.030

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Most popular questions from this chapter

Construct a 90% confidence interval for the population mean weight of the heads of lettuce. State the confidence interval, sketch the graph and calculate the error bound.

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.

Construct a 95%Confidence Interval for the true mean age of Winter Foothill College students.

How much area is in each tail? α2=______?

Using the same p′ and n = 80, how would the error bound change if the confidence level were increased to 98%? Why?

A random sample of statistics students were asked to estimate the total number of hours they spend watching television in an average week. The responses are recorded in Table 8.4. Use this sample data to construct a 98% confidence interval for the mean number of hours statistics students will spend watching television in one week.

0
3
1
20
9
5
10
1
10
4
14
2
4
4
5

Table8.4

Which distribution should you use for this problem?
See all solutions

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