Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased; what is the critical value?
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QUESTION 11
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased; what is the critical value? (please round your answer to 2 decimal places)
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- Question 2 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.Question No. 03: Research at the University of Toledo indicates that 50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program? Test at the .05 level of significance.NCI Cancer Bulletin, December 2, 2008 Volume 5 / Number 24 Title of the article: After Menopause, Weight Affects Breast Cancer Rates More than Mammography Use Women who are overweight or obese after menopause face an increased risk of breast cancer, but a large prospective cohort study indicates that the frequency of mammography use and screening accuracy are not the primary explanations for higher rates of breast cancer in these women. The same is true of large, invasive breast cancer tumors and advanced stage disease; risk increases with weight, but higher rates are not explained by the frequency or accuracy of screening mammography before breast cancer was diagnosed. The study appears in the December 3 Journal of the National Cancer Institute. Dr. Karla Kerlikowske of the San Francisco Veterans Affairs Medical Center and colleagues gathered data on 287,115 postmenopausal women who were registered in the Breast Cancer Surveillance Consortium database. Reflecting a trend in the…
- NCI Cancer Bulletin, December 2, 2008 Volume 5 / Number 24 Title of the article: After Menopause, Weight Affects Breast Cancer Rates More than Mammography Use Women who are overweight or obese after menopause face an increased risk of breast cancer, but a large prospective cohort study indicates that the frequency of mammography use and screening accuracy are not the primary explanations for higher rates of breast cancer in these women. The same is true of large, invasive breast cancer tumors and advanced stage disease; risk increases with weight, but higher rates are not explained by the frequency or accuracy of screening mammography before breast cancer was diagnosed. The study appears in the December 3 Journal of the National Cancer Institute. Dr. Karla Kerlikowske of the San Francisco Veterans Affairs Medical Center and colleagues gathered data on 287,115 postmenopausal women who were registered in the Breast Cancer Surveillance Consortium database. Reflecting a trend in the…NCI Cancer Bulletin, December 2, 2008 Volume 5 / Number 24 Title of the article: After Menopause, Weight Affects Breast Cancer Rates More than Mammography Use Women who are overweight or obese after menopause face an increased risk of breast cancer, but a large prospective cohort study indicates that the frequency of mammography use and screening accuracy are not the primary explanations for higher rates of breast cancer in these women. The same is true of large, invasive breast cancer tumors and advanced stage disease; risk increases with weight, but higher rates are not explained by the frequency or accuracy of screening mammography before breast cancer was diagnosed. The study appears in the December 3 Journal of the National Cancer Institute. Dr. Karla Kerlikowske of the San Francisco Veterans Affairs Medical Center and colleagues gathered data on 287,115 postmenopausal women who were registered in the Breast Cancer Surveillance Consortium database. Reflecting a trend in the…NCI Cancer Bulletin, December 2, 2008 Volume 5 / Number 24 Title of the article: After Menopause, Weight Affects Breast Cancer Rates More than Mammography Use Women who are overweight or obese after menopause face an increased risk of breast cancer, but a large prospective cohort study indicates that the frequency of mammography use and screening accuracy are not the primary explanations for higher rates of breast cancer in these women. The same is true of large, invasive breast cancer tumors and advanced stage disease; risk increases with weight, but higher rates are not explained by the frequency or accuracy of screening mammography before breast cancer was diagnosed. The study appears in the December 3 Journal of the National Cancer Institute. Dr. Karla Kerlikowske of the San Francisco Veterans Affairs Medical Center and colleagues gathered data on 287,115 postmenopausal women who were registered in the Breast Cancer Surveillance Consortium database. Reflecting a trend in the…
- Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96Question 1 Based on a national survey of adults in U.S, 60 percent of adult believe a phone-in poll of 300,000 people rather than a random sample of 1000 people. Which would you be more likely to believe and why? Question 2 A clinical trial was conducted in which 29 participants were given a pig whipworm egg treatment every 3 weeks for 6 months. At the end of the study, they found 79.3 percent of the subjects in the study experienced a reduction in Chrohn’s disease symptoms. What is the concern with the experimental design of this study? Question 3 You are interested in determining the average age of students at the University. Come up with two questions (and the possible answers they would select, if applicable) in which: 1-Age would be classified as a categorical variable. 2-Age would be classified as a numerical variable Question 4 Knowing the value of determining the sample size prior to the start of a study, you use appropriate sample size formula and calculate the required sample…The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 U.S. News and World Report annual rankings.Next you perform the following regression cost^= = 7,311.17 + 3,985.20 × Reputation – 0.20 × Size (2,058.63) (664.58) (0.13) + 8,406.79 × Dpriv – 416.38 × Dlibart – 2,376.51 × Dreligion(2,154.85) (1,121.92) (1,007.86) R2=0.72, SER=3,773.35 where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World…
- The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 U.S. News and World Report annual rankings.Next you perform the following regression cost^= = 7,311.17 + 3,985.20 × Reputation – 0.20 × Size (2,058.63) (664.58) (0.13) + 8,406.79 × Dpriv – 416.38 × Dlibart – 2,376.51 × Dreligion(2,154.85) (1,121.92) (1,007.86) R2=0.72, SER=3,773.35 where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World…As a researcher for the EPA, you have been asked to determine if the air quality in the UnitedStates has changed over the past 2 years. You select a random sample of 10 metropolitan areasand find the number of days each year that the areas failed to meet acceptable air quality Based on the data, answer the following questions.1. What is the purpose of the study?2. Are the samples independent or dependent?3. What hypotheses would you use?4. What is (are) the critical value(s) that you would use?5. What statistical test would you use?6. How many degrees of freedom are there?7. What is your conclusion?8. Could an independent means test have been used?9. Do you think this was a good way to answer the original question?A study investigated the joint effects of sleep quality and sleep duration on the development of coronary heart disease (CHD). A total of 60,586 individuals aged 40 and older with no current or prior history of CHD were enrolled into the study. A self-administered questionnaire was used to collect information on sleep quality and duration at the start of the study, and 43,910 participants reported getting ³6 hours of sleep per day. Participants were followed for approximately 12 years, for a total of 152,000 person-years among those getting <6 hours sleep/day and 527,000 person-years among those getting ³6 hours sleep/day. Out of 2,740 participants who developed CHD throughout follow-up, 721 participants reported getting <6 hours of sleep per day at baseline. Question 10: What is the incidence rate of coronary heart disease among all participants in the study?