11) complete the ANOVA table df 3 Source SS MS F. 56.50 283.30 AB Error Total 311.10 23 7989.30
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- The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 college students was used in the study.The Education Ministry claims that the dropout rate for Form 6 students in theircountry is less than 20%. Last year, 18 students from a random sample of 100Form 6 students withdrew. At α = 0.05, is there enough evidence to support theministry’s claim?List the four assumptions for the two-way (or factorial) ANOVA.
- The U.S. Census Bureau reported that in 2015,the proportion of adult Americans age 25 and olderwho have a bachelor’s degree or higher is 0.325(“Educational Attainment in the United States:2015,” census.gov, retrieved January 22, 2017).Consider the population of all adult Americans age25 and over in 2015 and define 户to the proportionof people in a random sample from this populationwho have a bachelor’s degree or higher.a. Would 卢based on a random sample of only 10people from this population have approximatelya normal distribution? Explain why or why not.b. What 征e the mean value and standard deviation of户based on a random sample of size 400?c. Suppose that the sample size is n = 200 ratherthan n = 400. Does the change in sample sizeaffect the mean and standard deviation of thesampling distribution of 卢? If so, what are thenew values for the mean and standard deviation?If not, explain why not.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 the February 2008 Federal Trade Commission report on consumerfraud and identity theft, 23% of all complaints in 2007 were for identity theft. Inthat year, Arkansas had 1,601 complaints of identity theft out of 3,482 consumercomplaints ("Consumer fraud and," 2008). Does this data provide enoughevidence to show that Arkansas had a higher proportion of identity theft than23%? Test at the 5% level.
- A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing.At a 1% level of significance, an appropriate conclusion is:There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below.Explain how the ANOVA technique avoids the problem of the inflated probability of making Type I error that would arise using the alternative method of comparing groups two at a time using the t test for independent groups.
- 4. A barangay official claims that at least 95% of theresidents in his area have mobile phones. To test this claim, a researcherrandomly selected a sample of 150 residents and found that 145 of them do have mobile phones. At 1% level of significance, what can you conclude?Identify BOTH the populationand the samplefor thesituation below.A survey of 21pharmacists from Philadelphiafound that 87% of them are vaccinatedAre there less children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? Assume data were collected from a fairly urban state and they found 167 eight-year olds diagnosed with ASD out of 18922 eight-year olds evaluated. Assume data were then collected for a fairly rural state and they found 68 eight-year olds diagnosed with ASD out of 2989 eight-year olds evaluated. Is there enough evidence to show that the proportion of children diagnosed with ASD in the fairly urban state is lower than the proportion in the fairly rural state? Test at the 3% level and Compute a 94% confidence interval for the difference in proportions. (round to 3 decimal points)