Statisticians at top national news networksare working behind the scenes in order todeclare a winner in individual races duringthe next election.1. Which type of tests would be using todetermine if candidate A has a higherproportion of votes than candidate B?2. List three possible reasons (and brieflydiscuss) why a news agency might choosenot to call a race officially on air for onecandidate even if they have data fromsamples of exit polls to support that there isstatistically significant evidence that onecandidate has more votes than anothercandidate?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. Statistic or parameter ? a.Researchers want to determine what percentage of Maryland residents are in favor of the death penalty. Suppose that 7% of a random sample of 1200 residents are in favor of the death penalty. This percentage (7%) would represent statistic/parameter b. The online MBA director at a large business school surveys a sample of current students to determine their level of satisfaction with the program. She finds that 67% of them are "very satisfied" with the online program. This result is statistic/parameter. c. All the third graders in a county were asked to complete a survey about who likes vanilla ice cream. 90% response was in favor of the flavor. This is statistic/parameter. d. The average Statistics test scores of all students in in PGCC a. A study took a group of adults and randomly divided them into two groups. One group was told to drink tea every night for a week, while the other group was told not to drink tea that week. Researchers then compared when…
Justice in the Courts? In an issue of Parade Magazine, the editors reported on a national survey on law and order. One question asked of the 2512 U.S. adults who took part was whether they believed that juries “almost always” convict the guilty and free the innocent. Only 578 said that they did. At the 5% significance level, do the data provide sufficient evidence to conclude that less than one in four Americans believe that juries “almost always” convict the guilty and free the innocent?
Age and party 2008. The Pew Research Centercollected data from national exits polls conducted byNBC News after the 2008 presidential election. Thefollowing table shows information regarding voter ageand party preference: a) What sampling strategy do you think the pollstersused? Explain.b) What percentage of the people surveyed wereDemocrats? c) Do you think this is a good estimate of the percent-age of voters in the United States who are registered Democrats? Why or why not?d) In creating this sample design, what question do youthink the pollsters were trying to answer? Republican Democrat Other Total18–29 260 390 351 100130–44 320 379 300 99945–64 329 369 300 99865+ 361 392 251 1004Total 1270 1530 1202 4002
2. Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 137 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. a. State the null hypothesis. b. State the alternative hypothesis. c. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
Telemarketers continue to attempt to reach consumers by calling land-line phone numbers.According to estimates from a national 2003 survey, based on face-to-face interviews in 16,677 households,approximately 58.2% of U.S. adults have both a landline in their residence and a cell phone, 2.8% have only cellphone service but no landline, and 1.6% have no telephone service at all. (a) Polling agencies won't call cell phone numbers because customers object to paying for suchcalls. What proportion of U.S. households can be reached by a landline call?(b) Are having a cell phone and having a landline independent?
A survey asked 827 randomly sampled registered voters in California to select a response best fitting their opinion about drilling for oil and natural gas off the coastline of California. Response options include (1) Support, (2) Oppose, or (3) Do not know enough to answer. Data was disaggregated along whether respondents were college graduates or not. Here's the data: Support Drilling Oppose Drilling Doesn't Know Graduated College 154 180 104 Didn't Graduate College 132 126 131 Does this data show a statistically significant difference in the support of drilling between those who graduated college and those who didn't?
Sociologists argued that women on average earn less than men as women often choose to work less hours. They further suggest that the choice of hours worked may be driven by various factors such as age, childcare needs, occupation choice and flexibility. To investigate the relation between hours worked and income earned by Australian men and women, a researcher plans to survey a sample of individuals across the country. a) What type of survey method the researcher could use and why? b) What sampling method could the researcher use to select his/her sample and why?
A national sports equipment co-op is going to conduct a survey of its members. It knows from collecting data when members join that 68% of them identify as male. Assuming the total number of members is very large and 200 of them are randomly selected to take the survey, what’s the chance less than 60% of these randomly chosen members identify as male? Show all your work and write your answer as a percentage.
A forestry official is comparing the causes of forest fires in three regions. The following table shows the causes of fire for 100 randomly selected recent fires in these three regions. (in photo) Test at a 5% significance level whether causes of fire and regions of fires are related.
Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation. Do we reject, or fail to reject, the null hypothesis?
8. Please answer

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