According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Arkansas had 1,601 complaints of identity theft out of 3,482 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Arkansas had a higher proportion of identity theft than 23%? Test at the 5% level.

2) A researcher suspects that there is a relationship between substance use and sexual activity among single college students.  What statistical analysis tests would you use for this?

An online shop owner believes that 85% of her customers will want to go into a real store. She surveyed 50 customers and 39 said they want to visit a store. Is the owners claim correct? Use a 0.01 level of significance.

Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.

Thirty-five percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.35 , the same as the overall proportion of Americans who drink bottled water more than once a week. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of “p with a line over it” (to 4 decimals). E(p with a line over it) = 0` p with a line over it = Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the population proportion (to 4 decimals). Probability = Suppose you select a sample of 190 St. Paulites. Show the sampling…

). You are interested in investigating if there a difference in mean cholesterol between the four diet groups. What kind of sample and outcome is this?

Explain if there was a statistically significant difference between the group means. did you arrive at your conclusion?

1. Explain the difference between z-tests (which use categorical data), and t-tests (which use numerical data). 2. Conduct a t-test, both when given statistics, and when given data. 3. Conduct a t-test, 2-sample t-test, and paired t-test. 4. Differentiate between the five types of tests we have learned so far.

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?