The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership. a. Formulate the hypotheses that can be used to determine whether union membership increased in 2014. Ho: p Select Select b. If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test (to 4 decimals)? c. Ata- 05, what is your conclusion? Select

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

The Knight Foundation investigates whether high school students agreed with the statement that people should be allowed to burn or deface the American flag as a political statement. This question was asked in a survey of a representative sample of high school students in 2004 and also in a survey of a representative sample of high school students in 2014. Suppose that the sample size was 1000 in each of the two years. Data consistent with summary values given in the paper are summarized in the accompanying table. Is there convincing evidence that the proportions falling into each of the response categories were not the same for high school students in 2004 and 2014?

An art authenticator has a history of successfully identifying forgeries. Over her career, she has been asked to evaluate 74 actual forgeries and correctly identified 69 of them. Further, among all the authentic art she has looked at, she has never claimed any to be forgeries. An art dealer is considering purchasing a painting but is worried it is a fake. His experience in the field over the years indicates about 3% of the artwork he comes across is forged. a) If the dealer employs the services of the authenticator, and she indicates the painting is genuine, what is the chance it is actually a forgery? b) Without authentication, the dealer can sell the painting for $20,000. The price would increase to $25,000 if the painting were authenticated as genuine, but obviously it is worthless if it is deemed a forgery. The authenticator charges $2,000 for her services. Do you think it is worth it for the dealer to use the authenticator? Why or why not?

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

A study was conducted to determine how people get jobs. The table list date from 400 randomly selected subjects. The data are bases on results from the National centter for Career Strategies.  Job source of survey respondent FREQUENCIES HELP-WANTED ads 56 EXECUTIVE SEARCH FIRMS 44 NETWORKING 280 MASS MAILING 20 TOTAL    1. What percentage of the respondents got job by either help-wanted ads or mass mailing? 2. What percentage of the respondent got jobs from networking?