A study has been conducted to compare the anxiety levels reported by Australian adults across four different age groups (18 to 29; 30 to 39; 40 to 49; and 50 to 59). Anxiety was measured on a metric scale, with higher scores indicating higher levels of anxiety. Suppose the researchers hypothesised that there would be a significant difference between 18 to 29 year olds and 40 to 49 year olds. How would you set up the contrast coefficients for each age group to test this hypothesis? (note that the first group has been set as 1) 18 to 29 year olds = 1 30 to 39 year olds = 40 to 49 year olds = 50 to 59 year olds =
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Adi S.
A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 3.9%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians' offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.1%. What should the researcher's conclusion be for a 5% significance level?A) We reject H0 at the 5% level because -57.53 is less than -1.96. We do have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents is above the previously reported prevalence of 3.9%.B) We fail to reject H0 at the 5% because 1.12 is less than 1.645. We do not have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents is above the previously reported prevalence of 3.9%.C) We fail to reject H0 at the 5% because 1.09 is less than 1.96. We do not have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents is above the previously reported prevalence of 3.9%.D) We fail to reject H0 at the 5% because 1.12 is greater than 1.645. We do not have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents is above the previously reported prevalence of 3.9%.
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A researcher is interested in the relationship between age and anxiety. In 1965, she obtained a random sample of 20-year-olds and had them complete a measure of anxiety. She tracked down the same people fifty years later, in 2015, when they were 70 years old, and had them complete the measure of anxiety again. The measure of anxiety is such that a higher score reflects greater anxiety. The data are below. 20 yrs old 70 yrs old 3 6 1 9 2 9 2 8 Mean: 2 Mean: 8 SS: 2 SS: 6 Complete steps A-G to analyze the data. A) What is the full name of the statistical test that you will use to analyze the data? B) State the hypotheses in symbols and in words. C) Locate the critical region. D) Analyze the data E) Make a decision about the hypotheses F) State the results formally (jargon statement) G) State the results in regular words (grandma statement)
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