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Question: 1. Over half of all American teens (ages 12 to 17 years) have an online profile, mainly on Facebo…



1. Over half of all American teens (ages 12 to 17 years) have an
online profile, mainly on Facebook. A random sample of 465 teens
with profiles found that 282 included photos of themselves.

(a) Give the 96% large-sample confidence interval for the
proportion p of all teens with profiles who include photos
of themselves.

Large-sample Interval: to

(b) Give the plus four 96% confidence interval for p .
(The plus-four interval always pulls the results away from 0% or
100%, whichever is closer. Even though the condition for using the
large-sample interval is met, the plus four interval is more
trustworthy.)

Plus four Interval: to

2. Some shrubs have the useful ability to resprout from their
roots after their tops are destroyed. Fire is a particular threat
to shrubs in dry climates, as it can injure the roots as well as
destroy the aboveground material. One study of resprouting took
place in a dry area of Mexico. The investigation clipped the tops
of samples of several species of shrubs. In some cases, they also
applied a propane torch to the stumps to simulate a fire. Of 12
specimens of a particular species, 7 resprouted after fire.
Estimate with 90% confidence the proportion of all shrubs of this
species that will resprout after fire.

Interval: ____to _____

3.

A Gallup poll asked a sample of Canadian adults if they thought
the law should allow doctors to end the life of a patient who is in
great pain and near death if the patient makes a request in
writing. The poll included 275 people in Quebec, 191 of whom agreed
that doctor-assisted suicide should be allowed.

(a) What is the margin of error of the large-sample 90%
confidence interval for the proportion of all Quebec adults who
would allow doctor-assisted suicide?

MoE:

(b) How large a sample is needed to get a±3 percentage point
margin of error (this is very commonly used)? Use the previous
sample as a pilot study to get p*. (You may need four decimal
places in your critical value to solve this problem.)

Sample size:

  

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