Chapter 7: Problem 13
Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.
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Chapter 7: Problem 13
Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.
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A random sample of likely students for higher studies showed that \(28 \%\) would want to pursue economics. The margin of error is \(4.5\) percentage points with a \(95 \%\) confidence level. a. Using a carefully worded sentence, report the \(95 \%\) confidence interval for the percentage of students who plan to choose economics. b. Is there evidence that there will not be enough students for economics? c. Suppose the survey was conducted in one section out of 12 sections of the classes eligible to participate in the survey. Explain how that would affect your conclusion.
In a die roll, 3 and 6 are multiples of 3 and \(1,2,4\), and 5 are not multiples of \(3 .\) Consider 90 rolls of a die on a random basis. a. From how many outcomes of the 90 rolls would you expect to get multiples of 3 , on average? b. If you actually counted, would you get exactly the number you predicted in part a? Explain.
Suppose you go to a department store where one can shop both in-store and online. You want to know the average purchase volume per customer. You walk around the store asking the customers their order values. Would this result in a biased sample?
In June 2012, a Gallup Poll asked U.S. adults whether immigration was a good thing or a bad thing for the country. Out of 1004 respondents, 663 said it was a good thing. a. What percentage of those taking the poll said immigration was a good thing? b. Check the conditions to determine whether you can use the CLT to find a confidence interval. c. Find a \(95 \%\) confidence interval for the proportion who believe immigration is a good thing.
According to a Gallup Poll taken in East Germany, when adults were asked whether they were thriving, struggling, or suffering, 261 out of 435 said they were struggling. (The number that said they were suffering was \(50 .\) In West Germany the number of those who reported suffering was less than half of that.) a. What is the value of \(\hat{p}\), the sample proportion that say they are struggling? b. Check the conditions to determine whether you can apply the CLT to find a confidence interval. c. Find a \(95 \%\) confidence interval for the population proportion that say they are struggling.
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