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In the 2004 U.S. presidential election, the official results showed that George W. Bush received 50.7% of the vote and John Kerry received 48.3%. Ralph Nader, running as a third-party candidate, picked up only 0.4%. After the election, there was much discussion about exit polls, which had initially indicated a different result. Suppose you had taken a random sample of 1000 voters in an exit poll and asked them for whom they had voted.
a) Would you always get 507 votes for Bush and 483 for Kerry?
b) In 95% of such polls, your sample proportion of voters for Bush should be between what two values?
c) In 95% of such polls, your sample proportion of voters for Nader should be between what two numbers?
d) Would you expect the sample proportion of Nader votes to vary more, less, or about the same as the sample proportion of Bush votes? Why?
There are infinitely many prime numbers p of the form 4n+3. In other words, show that there exist infinitely many positive integers, n, such that the number 4n+1 is prime.
A brand name has 60% recognition rate. if the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers, find the probability that exactly 3 of the 5 consumers recognize the brand name. Also fin..
Each patient also submits the blood sample and their glucose tolerance status is determined. Determine the sensitivity of screening test?
A financial advisor has recommended two possible mutual funds for investment: Fund A and Fund B. The return that will be achieved by each of these depends on whether the economy is good, fair, or poor.
How many customers must the restaurant have, on the average, to be at least 95 percent sure that the number of customers ordering pie on that day falls in the 19 to 21 percent range?
68% it will rain tomorrow. What is the probability it will not rain tomorrow?
a shipment of 100 cereal boxes is delivered to a grocery shop. the manager is told that the weights of cereal boxes are
Find the mean and the standard deviation of the sampling distribution of x, and find an interval containing 95.44 percent of all possible sample mean returns.
What is the most appropriate statistical test in situation and are there significant differences in the number of deliveries?
Assume the results of different games played in the series are independent of each other. Find the p.m.f. of the distribution of N := duration" of the baseball series.
Twelve students randomly selected from the entering class of college had the following SAT scores in math and English population mean=500, sigma=100
Exercise 5 The best way to gain understanding of a sampling and estimation method is to carry it out on some real population of interest to you.
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