According to a prestigious historical society, in 1999, 7.2% of recent high school graduates believe that the Romans invented mayonnaise. A classics scholar believes that the percentage has increased since then. He randomly selects 125 recent high school graduates and finds that 17 of them believe in the Roman invention of mayonnaise. Test this researcher's claim at 0.05 of the  level of significance. Apply p-value and classical approaches.  Show step1-step3.   Critical value and test statistic:  Round nearest hundredth. P-value:  Round nearest ten-thousandth if necessary.

In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1160 American adults if they believe there was a conspiracy in the assassination and it found that 897 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 9% level.      What is the correct parameter symbol for this problem?  What is the wording of the parameter in the context of this problem? Fill in the correct null and alternative hypotheses:

Please let me know if I calculated relative risk correctly. Thank you for your assistance.

Professor Chase from the University of Kansas has been working on a new cholesterol medication that is being called CholestoCleaner. The university is now conducting studies to determine if there is a possible side effect of sore joints. Placebo (Population Rate) To help determine the usual rate of sore joints, the research team gave a placebo (sugar pill) to 2017 subjects. Of those 2017 subjects, 4 of them developed sore joints.  CholestoCleaner Trial The CholestoCleaner drug was given to 2622 subjects. Of those 2622 subjects, 19 of them developed sore joints. Preliminary Math If we consider the general population of people that don't use CholestoCleaner, what is the probability that they will develop sore joints?   (Enter your answer as a fraction.) If you had a sample size of 2622 that did NOT use CholestoCleaner, how many would expect to develop sore joints? When 2622 subjects DID use the drug, there were 19 subjects that developed sore joints. Does it seem as though sore joints…

Pap smears are a diagnostic test used to detect cervical cancer. Although the test has high specificity, it also has low sensitivity.  As a result, women have to be screened often.  Using the definitions of sensitivity and specificity, explain why increased frequency of screening is needed when sensitivity is low and specificity is high.

Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries may reduce and even reverse these age-related declines (Joseph et al., 1999). To examine this phenomenon, suppose that a researcher obtains a sample of n = 16 adults who are between the ages of 65 and 75. The researcher uses a standardized test to measure cognitive performance for each individual. The participants then begin a 2-month program in which they receive daily doses of a blueberry supplement. At the end of the 2-month period, the researcher again measures cognitive performance for each participant. The results show an average increase in performance of MD = 7.4 with SS = 1215. Does this result support the conclusion that the antioxidant supplement has a significant effect on cognitive performance? Use a two-tailed test with α = .05. Show your computations.

Clothes dried outside smell better than those dried in a dryer because of a process called photolysis. Sunlight breaks down compounds that cause odor. A trained smeller is asked to smell a random sample of 20 towels. The smeller does not know it, but all of the 20 towels have been dried in the sun. The smeller is blindfolded and is not allowed to touch the towels but leans forward to smell the towel then rates the towel on a smell-scale of 1 to 10, where 1 is the an extremely unpleasant smell and 10 is a very good smell. A smell rating of 8 is typically attributed to a towel that is dried in the dryer. The mean smell rating for these 20 towels is approximately normal with a mean of 8.45 and the standard deviation is 0.887. A statistician performs a test of Ho μ = 8 versus H₁ μ> 8 where is the true mean smell rating for all towels dried in the sun. This test yields a P-value of 0.0176. What conclusion would you make at the significance level a = 0.05? Because the P-value of 0.0176 < α =…

Many university admission committees use the GMAT score as one of the critical indicators of how well a student is likely to perform in an MBA program.  However, the GMAT might not be a very strong indicator for all MBA programs.  Suppose that an MBA program designed for middle managers who wish to upgrade their skills was launched 3 years ago.  To judge how well the GMAT scores predict MBA performance, a sample of 12 graduates was taken.  Their GPA in the MBA program (values 0 to 12) and their GMAT scores (values ranging from 200 to 800) are listed below.  Compare the covariance and the correlation coefficient.  Interpret your findings. GMAT GPA 599 9.6 689 8.8 584 7.4 631 10.0 594 7.8 643 9.2 656 9.6 594 8.4 710 11.2 611 7.6 593 8.8 683 8.0