Learning Materials
Features
Discover
Chapter 7: Problem 91
A poll on a proposition showed that we are \(95 \%\) confident that the population proportion of voters supporting it is between \(40 \%\) and \(48 \%\). Find the margin of error.
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
A large collection of one-digit random numbers should have about \(50 \%\) odd and \(50 \%\) even digits, because five of the ten digits are odd \((1,3,5,7\), and 9\()\) and five are even \((0,2,4,6\), and 8\()\). a. Find the proportion of odd-numbered digits in the following lines from a random number table. Count carefully. $$\begin{array}{lll}57.283 \mathrm{pt} & 74834 & 81172 \\\\\hline 89281 & 48134 & 71185\end{array}$$ b. Does the proportion found in part a represent \(\hat{p}\) (the sample proportion) or \(p\) (the population proportion)? c. Find the error in this estimate, the difference between \(\hat{p}\) and \(p\) (or \(\hat{p}-p\) ).
While the majority of people who are color blind are male, the National Eye Institute reports that \(0.5 \%\) of women of with Northern European ancestry have the common form of red-green color blindness. Suppose a random sample of 100 women with Northern European ancestry is selected. Can we find the probability that less than \(0.3 \%\) of the sample is color blind? If so, find the probability. If not, explain why this probability cannot be calculated.
Pew Research reported that \(46 \%\) of Americans surveyed in 2016 got their news from local television. A similar survey conducted in 2017 found that \(37 \%\) of Americans got their news from local television. Assume the sample size for each poll was 1200 . a. Construct the \(95 \%\) confidence interval for the difference in the proportions of Americans who get their news from local television in 2016 and 2017 . b. Based on your interval, do you think there has been a change in the proportion of Americans who get their news from local television? Explain.
In 2017 the Gallup poll surveyed 1021 adults in the United States and found that \(57 \%\) supported a ban on smoking in public places. a. Identify the population and the sample. b. What is the parameter of interest? What is the statistic?
Assume your class has 30 students and you want a random sample of 10 of them. A student suggests asking each student to flip a coin, and if the coin comes up heads, then he or she is in your sample. Explain why this is not a good method.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine