Suppose that Fred, a United States politician from a large western state, wants to create a new law that would require children under the age of 16 to be accompanied by an adult at all times in public places. Based on previous voting records, Fred believes that he could gain the support of 2525% of likely voters. To test his hypothesis, Fred conducts a random survey of 12001200 likely voters and asks if they would support his proposition. Let ?X denote the number of likely voters in Fred's sample that pledge their support, assuming that Fred's belief that 25%25% of likely voters would support his proposal. Which of the following statements are true about the sampling distribution of ?X? -The sampling distribution of ?X is approximately binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling distribution of ?X is exactly normal with ?=0.5μ=0.5 and ?=0.0125σ=0.0125. -The sampling distribution of ?X is exactly binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling distribution of ?X is approximately normal with ?=0.5μ=0.5 and ?=0.0125σ=0.0125. -The sampling distribution of ?X is approximately normal with ?=300μ=300 and ?=15σ=15. -The sampling distribution of ?X is exactly normal with ?=300μ=300 and ?=15σ=15.

16. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.6% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the standard deviation (?)? (Round your answer to four decimal places.)? = ___________

A construction company submitted a bid for a large, public construction project. The company’s management initially felt they had a 50-50 chance of getting the project. However, the department to which the bid was submitted subsequently requested additional information on the bid submitted by this company. Past experience indicates that for 75% of the successful bids but only for 40% of the unsuccessful bids the agency requested such additional information. Question: Given that the construction company was asked for additional information, what is the probability that it will get the project?

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Assume that for an ad campaign to be​ successful, at least 77​%of those seeing a television commercial must be able to recall the name of the company featured in the commercial one hour after viewing the commercial. Before distributing an ad campaign​ nationally, an advertising company plans to show the commercial to a random sample of 15 people. It will also show the same people two additional commercials for different products or businesses.    a. Assuming that the advertisement will be successful (77%) will be able to recall the name of the company in the​ ad), what is the expected number of people in the sample who will recall the company featured in the commercial one hour after viewing the three​ commercials?   The expected number of people is?

On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme Court’s ruling about the constitutionality of California’s Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75% say the ruling is important to them.In this problem, let:C = California registered voters who support same-sex marriage.B = California registered voters who say the Supreme Court’s ruling about the constitutionality of California’s Proposition 8 is very or somewhat important to themA = California registered voters who are 18 to 39 years old.Find P(C).Find P(B).Find P(C|A).Find P(B|C).In words, what is C|A?In words, what is B|C?Find P(C AND B).In words,…

Based on a​ survey, 33​% of likely voters would be willing to vote by internet instead of the​ in-person traditional method of voting. For each of the​ following, assume that 12 likely voters are randomly selected.. If 9 of the selected voters would do internet​ voting, is 9 significantly​ high? Why or why​ not?

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