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Chapter 11: Q.11.53 (page 460)

Factory Farming Funk. During one year, the U.S. Environmental Protection Agency reported that concentrated animal feeding

operations (CAFOs) dump 2 trillion pounds of waste into the environment annually, contaminating the ground water in 17 states and polluting more than 35,000 miles of our nation's rivers. In a survey of 1000 registered voters by Snell, Perry and Associates, 80% favored the creation of standards to limit such pollution and, in general, viewed CAFOs unfavorably. Find and interpret a 99% confidence interval for the percentage of all registered voters who favor the creation of standards on CAFO pollution and, in general, view CAFOs.

Short Answer

Expert verified

There is a 99%chance that between 76.7%and 83.3%of U.S. people dislike CAFOs and support the creation of CAFO pollution standards.

Step by step solution

01

Given Information

Sample size is n=1000.

Sample proportion is p^=80%

=0.8.

02

Explanation

With a confidence interval,

1-伪, find z伪/2using table II.

The confidence level is 99%.

i.e. 伪=0.01.

Using table II,

z伪/2=z0.01/2

=z0.005

=2.58

The range of confidence for localid="1651462567971" pis given as-p^-z伪/2路p^(1-p^)ntop^+z伪/2路p^(1-p^)n

鈬�0.8-2.580.8(1-0.8)1000to0.8+2.580.8(1-0.08)1000鈬�0.8-0.033to0.8-0.033

鈬�0.767to0.833

鈬�76.7%to83.3%

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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="1651326935007" x=10,n=40,90%level

A Harris Roll asked Americans whether states should be allowed to conduct random drug tests on elected officials. Of 21,355the respondents, 79%said "yes."

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

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

Life Support. In 2005, the Terri Schiavo case focused national attention on the issue of withdrawal of life support from terminally ill patients or those in a vegetative state. A Harris Poll of 1010 U.S. adults was conducted by telephone on April 5-10, 2005 Of those surveyed, 140 had experienced the death of at least one family member or close friend within the last 10 years who died after the removal of life support. Find and interpret a 90% confidence interval for the proportion of all U.S. adults who had experienced the death of at least one family member or close friend within the last 10 years after life support had been withdrawn.

In discussing the sample size required for obtaining a confidence interval with a prescribed confidence level and margin of error, we made the following statement: "If we have in mind a likely range for the observed value of p^, then, in light of Fig. 11.1, we should take as our educated guess for p^the value in the range closest to 0.5"Explain why.

x1=30,n1=80,x2=15,n2=20;95%confidence interval
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