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A simple random sample of 1,028 US adults in March 2013 found that 56% support nuclear arms reduction. Does this provide convincing evidence that a majortiy of American supported nuclear arms reduction at the 5% significance level?
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- Is College Worth It? In the New York Times article “College Graduates Fare Well in Jobs Market, Even through Recession,” C. Rampell noted that college graduates have suffered through the recession and lackluster recovery with remarkable resilience. Of a random sample of 1020 college graduates, 35 were unemployed; and of a random sample of 1008 high-school graduates (no college), 69 were unemployed. a. At the 1% significance level, do the data provide sufficient evidence to conclude that college graduates have a lower unemployment rate than high-school graduates? b. Find and interpret a 98% confidence interval for the difference in unemployment rates of college and high-school graduates.According to a publication, 12.9% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1378 randomly selected 18 to 25-year-olds revealed that 215 currently use marijuana. At the 2% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 12.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.The drug Ritalin is designed to stimulate the central nervous system. In a random sample of 252 boys aged ten – twelve years old, it was found that 44 of the boys were taking Ritalin. It is known that the proportion of all boys aged 13 – 15 who take Ritalin is 24%. A researcher claims that the population proportions of boys who take Ritalin aged 10 – 12 is different than boys aged 13 – 15. Can you support this claim at the 5% significance level? a. Conduct a hypothesis test to test the claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p-value, whether or not you reject Ho and whether you support the claim. b. Show that you can use the large sample methodology. c. Write a complete sentence describing what a Type I error is in context.