Question

In: Statistics and Probability

A CBS News/New York Times survey found that 97% of Americans believe that texting while driving...

A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News website, January 5, 2015). a. For a sample of 10 Americans, what is the probability that at least 8 say that they believe texting while driving should be outlawed? Use the binomial distribution probability function to answer this question (to 4 decimals). b. For a sample of 100 Americans, what is the probability that at least 95 say that they believe texting while driving should be outlawed? Use the normal approximation of the binomial distribution to answer this question (to 4 decimals). Use “Continuity correction factor” method. Use Table 1 in Appendix B. c. As the number of trials in a binomial distribution application becomes large, what is the advantage of using the normal approximation of the binomial distribution to compute probabilities? d. When the number of trials for a binominal distribution application becomes large, would developers of statistical software packages prefer to use the binomial distribution probability function shown in Section 5.5 or the normal approximation of the binomial distribution discussed in Section 6.3? Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Solutions

Expert Solution


Related Solutions

A CBS News/New York Times survey found that 97% of Americans believe that texting while driving...
A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News website, January 5, 2015). a. For a sample of 10 Americans, what is the probability that at least 8 say that they believe texting while driving should be outlawed? Use the binomial distribution probability function to answer this question (to 4 decimals). b. For a sample of 100 Americans, what is the probability that at least 95 say that...
A CBS News/New York Times survey found that 97% of Americans believe that texting while driving...
A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News website, January 5, 2015). a. For a sample of 10 Americans, what is the probability that at least 8 say that they believe texting while driving should be outlawed? Use the binomial distribution probability function to answer this question (to 4 decimals). b. For a sample of 100 Americans, what is the probability that at least 95 say that...
The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13-...
The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. Of these 1063 teenagers, 689 had a television in their room. a) Construct 99% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll b) Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 95% confidence interval for the proportion of...
A New York Times/CBS News Poll conducted in April 2007 reported that 72% of American would...
A New York Times/CBS News Poll conducted in April 2007 reported that 72% of American would favor an increased federal tax on gasoline if it would reduce dependence of foreign oil. Use the normal approximation to answer the following! a. For a sample of 200 Americans, what is the probability that at least 132 would favour such a tax? Don't forget the continuity correction b. What is the mean of the sampling distribution? c. What is the standard deviation of...
According to a New York Times/CBS News poll conducted during June 24–28, 2011, 55% of the...
According to a New York Times/CBS News poll conducted during June 24–28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream (The New York Times, June 30, 2011). Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1800 American adults, 60% said that owning a home is a very important part of the American Dream. Perform a hypothesis...
According to the New York Times Almanac, a survey of 15 large U.S. cities found that...
According to the New York Times Almanac, a survey of 15 large U.S. cities found that the average commute time one way to work was 25.4 minutes. A chamber of commerce executive feels that the one way to work commute in her city is less than this and wants to publicize this. In order to assess her belief, she randomly selected 25 commuters in her city and found the average one way commute time to work to be 22.1 minutes...
A CBS News/N.Y. Times poll found that 329 out of 763 randomly selected adults said they...
A CBS News/N.Y. Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Construct and interpret a 96% confidence interval for the population proportion of adults who would said they would travel to outer space in their lifetime, given the chance. Identify the proper Test or Confidence interval: Complete the Test or Confidence Interval.
A website reported that 31% of drivers 18 and older admitted to texting while driving in...
A website reported that 31% of drivers 18 and older admitted to texting while driving in 2009. In a random sample of 400 drivers 18 years and older drawn in 2010, 99 of the drivers said they texted while driving. a. Construct a 99?% confidence interval to estimate the actual proportion of people who texted while driving in 2010. A 99?% confidence interval to estimate the actual proportion has a lower limit of ___ and an upper limit of ___....
A survey is done to estimate the proportion of US Adults who think that texting while...
A survey is done to estimate the proportion of US Adults who think that texting while driving should be illegal. In a survey, 82% of a randomly selected sample of 1025 individuals said that this should be illegal. q1: A 95% confidence interval is construct to estimate the proportion, the STANDARD ERROR is 0.012. What is the margin of error?
A recent survey conducted by a foundation reported that 74​% of teens admitted to texting while...
A recent survey conducted by a foundation reported that 74​% of teens admitted to texting while driving. A random sample of 42 teens is selected. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is _________. ​(Round to four decimal places as​ needed.) The standard deviation is ___________. b. What is the probability that more than 36 of the 42 teens admit to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT