To determine if aspirin affected the incidence of cataracts, 11,00 physicians who took aspirin therapy and 11,000 who didn't were studied. There were 1084 cataracts in the aspirin group and 997 in the placebo group. Does this indicate that aspirin therapy leads to more cataracts? 3. Test at a=5%. Ho: Ha: Decision Rule: Decision: Conclusion:
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- Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $23,000$23,000. Several insurance companies collaborated in a data gathering experiment. They randomly selected 2222 homes and sent adjusters to settle the claims. In the sample of 2222 homes, the average claim was $24,500$24,500 with a population standard deviation of $4100$4100. Is there sufficient evidence at a 0.010.01 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed. Compute the value of the test statistic. Round your answer to two decimal places.Before the last presidential debates, 50% of registered votes indicated they were planning to vote for the incumbent president. In a recent poll of 1200 registered voters after the debates, 606 indicated they are planning to vote for the incumbent president. The research question is - Has there been a significant increase in the proportion of registered voters who are planning to vote for the incumbent president (level of significance .05)? What is the p-value?After reading an article using research done by the Organization for Economic Co-operation and Development (OECD) based in France, a statistics student decided to conduct his own study to see if the figures in the article were accurate. This article stated that 37% of email users said spam has increased in their personal email accounts and 29% said it has increased in their work email accounts. To test the first figure, let p be the proportion of email users who feel that spam has increased in their personal email. The first set of hypotheses that the student wants to test is then: Ho: p = 0.37 Ha: p ≠ 0.37 Based upon the data collected by this student, a 95% confidence interval for p was found to be: (0.25, 0.32). At the 0.05 level of significance, which conclusion can be made? a. The student cannot reject Ho, since 0.37 does not fall within the limits of the interval. b. The student can reject Ho, since 0.37 falls within the limits of the interval.…
- In 2007, the CDC reported that approximately 6.6 per 1000 (0.66%) children were affected with autism spectrum disorder. A sample of 900 children from Boston are tested, and 7 are diagnosed with autism spectrum disorder. Is the proportion of children affected with autism spectrum disorder higher in Boston as compared to the national estimate? Run the appropriate test at a 5% level of significance.An article was published concerning the incidence of cardiac death attributable to earthquake in Los Angeles County on January 17, 1994. In the week before the earthquake there were an average of 15.6 cardiac deaths per day in Los Angeles County. On the day of the earthquake, there were 51 cardiac deaths. Among days with more than 10 admissions, what proportion fall on weekends?A research is presented. For each, identify the (A) population and (B) sample in the study 3. Researchers want to determine whether or not higher folate intake is associated with a lower risk of hypertension (high blood pressure) in women (927 to 44 years of age). To make this determination, they look at 7373 cases of hypertension in these women and find that those consume at least 1000 micrograms per day of total folate had a decreased risk of hypertension compared with those who consume less than 200 A: B:
- A marketing manager for a cell phone company claims that more than 35% of children aged 10-11 have cell phones. In a 2009 survey of 5000 children aged 10-11 by Medimark Research and Intelligence, 1805 of them had cell phones. Do the sample data provide sufficient evidence to conclude that the proportion of children aged 10-11 that have cell phones is greater than .35? Use alph=.05A company studied the number of lost-time accidents occurring at its brownsville,Texas, plant. historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce suchaccidents to 5% during the current year. In addition, it estimates that 15% of employeeswho had lost-time accidents last year will experience a lost-time accident during thecurrent year.a. What percentage of the employees will experience lost-time accidents in bothyears?The drug Lipitor is meant to reduce cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Suppose that it is known that 1.9% patients taking competing drugs complain of flulike symptoms. (a) Determine the sample proportion of patients taking 10 mg of Lipitor daily complained of flulike symptoms. (b) Suppose that we want to know whether the evidence suggests more than 1.9% of Lipitor users experience flu-like symptoms as a side effect. Write down the null and alternative hypotheses. (c) Check whether the conditions for hypothesis testing using the P-value approach are met. (d) Determine the P-value for this hypothesis test, and draw a normal curve with area representing the P-value shaded. (e) Interpret the P-value.
- A survey of the mathematics faculty at wassamatta university indicates that 9 faculty members are registered democrats and 13 are registered republicans. find the ratio of republicans to democatsThe state of California is working very hard to ensure that all elementary age students whose native language is not English become proficient in English by the sixth grade. Their progress is monitored each year using the California English Language Development test. The results for two school districts in southern California for the 2003 school year are given in the accompanying table.7 Do the data indicate a significant difference in the 2003 proportions of students who are fluent in English for the two districts? Use α = .01.A recent survey found that 68.6% ofthe population own their homes. In a random sample of180 heads of households, 108 responded that they ownedtheir homes. At the a =0.01 level of significance, doesthat suggest a difference from the national proportion?