1. State the research question.2. Identify the parameter.3. State the hypotheses.4. Choose the method.5. Do the test.6. Interpret the p-value. Must be stated in the context of the problem.7. Draw a conclusion. Must be stated in the context of the problem.

CcDal AaBbCcDdl AaBbCcD AaBbCcDdE Normal No Spacing Heading 1 Heading 2 Paragraph Styles 1. A polling agency says that over 75% of people in the United States prepare and file their income taxes before April 15th. In a random survey of 1036 people in the United States, 818 said they prepare and file their income taxes before April 15th. Does the evidence support the agency's claim? 2. In 1987, 31% of the women were at least one year older than the men. In a random sample of 300 marriage license applications in 1997, 99 of the women were at least one year older than the men. Is the upward trend statistically significant? 3. A recent Gallup poll found that 385 of a random sample of 1012 adults said that they believe in ghosts. Does this sample support the statement that one-third of all adults believe in ghosts? 4. The Western blot assay is a blood test for the presence of HIV. It has been found that this test sometimes gives false positive results for HIV; specifically, when it does not find the p-31 antibody. A medical researcher claims that the rate of false positives in this case is 2%. A recent study of 484 randomly selected U.S. blood donors who tested positive for HIV, but did not have the p-31 antibodies in their blood found that 12 were actually HIV negative. Test the researcher's claim of a 2% false positive rate. What can you conclude? 5. A manufacturer of alkaline batteries wants to be reasonably certain than fewer than 3% of its batteries are defective. A sample of 300 batteries is randomly selected from a very large shipment, each is tested and 10 defective batteries are found. Does this provide sufficient evidence for the manufacturer to conclude that the proportion of defectives in the entire shipment is less than .03? 6. .A polling group called 1,200 homes and found that 822 used oil to heat. their homes. Should they conclude that less than 75% of the homes use oil