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Chapter 11: Q.11.50 (page 460)

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the death of at least one family member or close friend within the last 10 years after life support had been withdrawn.

Short Answer

Expert verified

There is a 90% chance that between 12.07% and 15.65% of U.S. adults have lost a family member or close friend in the recent ten years.

Step by step solution

01

Given Information

According to a Harris study, 140 out of 1010 persons in the United States have lost a family member or close friend after life support was stopped in the previous 10 years.

02

Explanation

The sample size for this study is n=1010.

The success rate is x=140.

The fraction of the sample would be p^=xn

=1401010

=0.1386

With a 90%confidence interval,

1-伪,

To find z伪/2using table II.

The level of confidence is at 90%. i.e. 伪=0.10.

Table II

z伪/2=z0.10/2

=z0.05

=1.645

03

Explanation

The range of confidence for pis :-

p^-z伪/2路p^(1-p^)ntop^+z伪/2路p^(1-p^)n鈬�0.1386-1.6450.1386(1-0.1386)1010to0.1386+1.6450.1386(1-0.1386)1010鈬�0.1386-0.0179to0.1386+0.0179

鈬�0.1207to0.1565

鈬�12.07%to15.65%

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