Business Statistics: A First Course (8th Edition)
8th Edition
ISBN: 9780135177785
Author: David M. Levine, Kathryn A. Szabat, David F. Stephan
Publisher: PEARSON
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A researcher wanted to check whether the percentage of Canadian adults with obesity has decreased in 2009 compared to 2005. He used Health Canada data. He randomly selected 75 Canadian adults from 2005 data and found 12 of them are obese; In a random sample of 120 Canadian adults from 2009 data, he found 17 of them are obese. He wants to develop a 96% confidence interval for the change is obese percentage. Let population1 be 2005 data and population2 be 2009 data. Write down the critical value.
Suppose that a health expert has claimed that 28% of college students smoke cigarettes. To investigate this claim, researchers survey a random sample of college students. Using this sample, a 95% confidence interval for the percentage of college students who smoke is found to be 19% to 24%. On the basis of this interval, explain whether the claim that 28% of all college students smoke is reasonable or not. You may need to use the appropriate table in the Appendix of Tables to answer this question.
a) The claim of 28% is reasonable because the value 28% is not in the confidence interval.
b) The claim of 28% is not reasonable because the value 28% is in the confidence interval.
c) The claim of 28% is not reasonable because the value 28% is not in the confidence interval.
d) The claim of 28% is reasonable because the value 28% is in the confidence interval.
A poll of 827 students at Alpha state college found that 61% of those polled preferred a quarter system to a trimester system. Estimate a 95% confidence interval for the percentage of students who prefer a quarter system.
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- What is meant by the sample space of an experiment?arrow_forwardWhat is an experiment?arrow_forwardSuppose a consumer advocacy group wants to conduct a survey to find if the proportion of consumers who bought the newest generation of an MP3 player were happy with their purchase. The survey was given to 200 customers and resulted in 175 of them being happy with their purchase. Construct a 95% confidence interval for the population proportion.arrow_forward
- Of the 1,000 people, 550 people used company s's smartphone and 460 people used company a's smartphone. Find a 95% confidence interval for the percentage of people using S company smartphones.arrow_forwardWildlife biologists inspect 180 deer taken by hunters and find 36 of them carrying Lyme disease ticks. Calculate a 95% confidence interval for the proportion of deer that carry Lyme disease ticks.arrow_forwardA therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress. The therapist wants to construct a 95% confidence interval for the difference in proportions of patients experiencing stress relief after yoga and after meditation. Are the conditions for inference met? A) Yes, the conditions for inference are met. B) No, the 10% condition is not met. C) No, the randomness condition is not met. D) No, the Large Counts Condition is not met.arrow_forward
- A researcher finds that individuals with a high school education or less are more likely to have hypertension than individuals with at least some college education. They report a relative risk of 2.1 with a 95% confidence interval or (1.6, 2.5). They then stratify their analysis by smoking status and report a relative risk of hypertension in smokers with a high school education or less as compared to smokers with at least some college education of 1.4 with a 95% confidence interval of (0.9, 1.9), and a relative risk of hypertension in non-smokers with a high school education or less as compared to non-smokers with at least some college education of 2.6 with a 95% confidence interval of (2.1, 3.2), Which of the following is not true? A) there is effect modification by smoking status B) there is effect modification by hypertension status C) there is no statistically significant assocation between education and hypertension amoung smokers D) Education and hypertension are not…arrow_forwardIn a clinical test with 2440 subjects, 70% showed improvement from the old treatment. While in a clinical test with another 2310 subjects, 75% showed improvement from the new treatment. Construct a 95% confidence interval to estimate the difference of the two population proportions.arrow_forwardA poll reported that only 507 out of a total of 1809 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools, and interpret this interval.arrow_forward
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