a.
To State:
The number of people surveyed.
Given:
The results of a survey of the newsgathering habits of adults aged 18-29 are displayed in the table.
What is your primary source of news? | |
TV | |
Internet | |
Newspaper | |
Radio | |
(Margin of error: |
Concepts Used:
The margin of error is
Calculations:
Determine the number of people surveyed.
Conclusion:
b.
To State:
Why might the conclusion “Young adults don’t generally get news from the TV” be inaccurate to draw from this data.
The margin of error is too large to make such a conclusion on the basis of given data.
Given:
The results of a survey of the newsgathering habits of adults aged 18-29 are displayed in the table.
What is your primary source of news? | |
TV | |
Internet | |
Newspaper | |
Radio | |
(Margin of error: |
Concepts Used:
The population proportion may lie anywhere between
Calculations:
The actual percentage of young adults that get news from TV can lie anywhere between
Conclusion:
The margin of error is too large to make such a conclusion on the basis of given data.
c.
To State:
The probability, to the nearest tenth of a percent, that the Internet is the primary source of news for at least three out of the six people Aleida chooses to survey at random.
Given:
The results of a survey of the newsgathering habits of adults aged 18-29 are displayed in the table.
What is your primary source of news? | |
TV | |
Internet | |
Newspaper | |
Radio | |
(Margin of error: |
Concepts Used:
In a binomial experiment with
The probability of occurrence of the union of many events that are mutually exclusive is the sum of their individual probabilities.
The definition
The probability of occurrence of an event and that of its complement add up to
Calculations:
The probability that Internet is the news source is
Conclusion:
d.
To State:
Why Aleida’s conclusion that the poll was inaccurate might be wrong.
The sample size of Aleida is too small to reliably refute the poll.
Given:
The results of a survey of the newsgathering habits of adults aged 18-29 are displayed in the table.
What is your primary source of news? | |
TV | |
Internet | |
Newspaper | |
Radio | |
(Margin of error: |
Aleida finds that four of the six respondents (or
Concepts Used:
The margin of error is
Calculations:
Determine the margin for error in her poll’s results.
Conclusion:
Since the actual percentage can lie between
e.
To State:
To the nearest tenth of a percent, what is the margin of error in Aleida’s survey.
Given:
The results of a survey of the newsgathering habits of adults aged 18-29 are displayed in the table.
What is your primary source of news? | |
TV | |
Internet | |
Newspaper | |
Radio | |
(Margin of error: |
Known from Part d:
The margin of error in Aleida’s Poll is
Chapter 6 Solutions
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