Chapter 8: Q.3 (page 477)
Which distribution should you use for this problem?
Short Answer
The distribution is.
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Chapter 8: Q.3 (page 477)
Which distribution should you use for this problem?
The distribution is.
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A telephone poll of adult Americans was reported in an issue of Time Magazine. Another question in the poll was 鈥淸How much are] you worried about the quality of education in our schools?鈥 Sixty-three percent responded 鈥渁 lot鈥. We are interested in the population proportion of adult Americans who are worried a lot about the quality of education in our schools.
a. Define the random variables and in words.
b. Which distribution should you use for this problem? Explain your choice.
c. Construct a confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in our schools.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
d. The sampling error given by Yankelevich Partners, Inc. (which conducted the poll) is . In one to three complete sentences, explain what the represents.
Suppose randomly selected people are surveyed to determine if they own a tablet. Of the surveyed, reported owning a tablet. Using a% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets
Which distribution should you use for this problem?
Suppose that the insurance companies did do a survey. They randomly surveyed drivers and found that claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.
a. i. x = __________ ii. n = __________ iii. p鈥 = __________
b. Define the random variables and , in words.
c. Which distribution should you use for this problem? Explain your choice.
d. Construct a confidence interval for the population proportion who claim they always buckle up. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound.
e. If this survey were done by telephone, list three difficulties the companies might have in obtaining random results.
Using the same , , and level of confidence, suppose that were instead of . Would the error bound become larger or smaller? How do you know?
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