In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013). Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 1% level.
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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013). Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 1% level.
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- What is an experiment?Results from the National Health and Nutrition Examination Survey (NHANES) conducted thirty years ago revealed that out of 378 randomly selected adults in the United States 57 were considered to be obese. In this year’s National Health and Nutrition Examination Survey, out of 426randomly selected adults in the United States 135 were considered to be obese. Based on these results, can one conclude, at the 0.01 level of significance, that the percentage of adults in the United States that are obese is considerably higher now than it was thirty years ago?According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 98.3 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 21 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 96.3 years with a sample standard deviation of 15.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the claim that μ , the mean lifespan of giant Aldabra tortoises in the wild, is now less than 98.3 years. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use…
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- A study of 20 worldwide financial institutions showed the correlation between their assets and profits to be .86. At the .05 significance level, can we conclude that there is a positive correlation in the population?Suppose a marriage counselor believes that the proportion of married couples with three personality preferences in common is significantly different from the known value of 35%. A survey randomly given to her current and former clients found 130 of 432 couples who sharedthree personality preferences. Does this indicate that the proportion is significantly different (either higher or lower)? Use a 1% level of significance to test her claim and show all work.The 5-year incidence of cardiovascular disease (CVD) in relation to smoking status was determined in a population sample of 1000 men, 18 years and older. At baseline, 30% of the men were classified as being current smokers and 70% as being non-smokers. At the end of the follow-up, 60 CVD events had occurred among the smokers and 70 events among the non-smokers. What is the relative risk for CVD for smokers compared non-smokers? Please interpret the result.
- Suppose a group of researchers attempt to confirm the result of "Distractions in Everyday Driving," covered in News Story 5 "Driving while distracted is common, researchers say," by recreating the study. In a random sample or 240male drivers,102indicated they have experienced external distractions while driving. In addition, in a random sample of 270 female drivers, 98 indicated they have experienced external distractions while driving. Test whether the population proportion of male drivers experiencing external distractions while driving was greater than the population proportion of female drivers experiencing external distractions while driving. Use a .05 level of significance. A. What assumptions are required for conducting this test. B. State the null and alternative hypotheses (both mathematical notation and words) C. Calculate the test statistics (by hand) D. Give the P-value associated with the hypothesis test in part (a). E. State the conclusion, using p-value approach.The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis. Create a 95% confidence interval for the difference in the proportions of senior men and women who have the disease.
