In a random sample of 550 women, 66% favored stricter gun control laws. In a random sample of 270 men, 60% favored stricter gun control laws. At the 0.05 significance level, do the data provide sufficient evidence to claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control?
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- What is meant by the sample space of an experiment?A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.
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- A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color.In a study of 822 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Part 1 Which of the following is the hypothesis test to be conducted?In a survey, 716 out of 1132 randomly selected adults in the United States said that they use cell phones while driving. a) Use a 0.02 significance level when testing the claim that the proportion of adults who use cell phones while driving is different than 70%. b) What does the conclusion mean?