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A study of injuries to in line skaters used data from the National Electronic Injury Surveillance System, which collects data from a random sample of hospital emergency rooms. The researchers interviewed 161 people who came to emergency rooms with injuries from in line skating. Wrist injuries (mostly fractures) were the most common.
a) The interviewers found that 53 people were wearing wrist guards and 6 of these had wrist injuries. Of the 108 who did not wear wrist guards, 45 had wrist injuries. Why should we not use the large-sample confidence interval for these data?
b) The plus four method adds one success and one failure in each sample. What are the sample sizes and counts of successes after you do this?
c) Give the plus four 95% confidence interval for the difference between the two population proportions of wrist injuries. State carefully what populations your inference compares.
One school found that 28.6% of all students are liberal. You wonder whether this percentage is different at your school, but don't know whether it's higher or lower. What hypotheses will you test to see if your school significantly differs from th..
Perform a significance test to see if there is a relation between mortality and duration of employment in the group hired AFTER 1945 and report a p-value.
Assume that the mean SAT score in Mathematics for 11th graders across the nation is 500, and that the standard deviation is 100 points. Find the probability that the mean SAT score for a randomly selected group of 150 11th graders is between 475 a..
What is the probability that the mean contents of a six-pack are less than 12 ounces and what is the chance I find at most two defectives in the sample
Jim Sellers is thinking about producing a new type of electric razor for men. If the market were favorable, he would get a return of $100,000, but if the market for this new type of razor were unfavorable
A recent study, "[b]ased on data from a survey of nearly 1,500 Boston men aged 18 to 35 years...found that 16 percent of the men - about one in six -- said they had abused their partner physically or sexually within the past year.
A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax.
Given this information we could use a Z test for two independent means and conclude that indeed the sales are different when the soup is a featured item.
We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15. How large is the required sample size?
Can the company claim that they are faster than the average utility?
Using the paired t test because the samples are correlated with each other could be another avenue. This would help us find the p-value and look at the statistical significance in evaluating the quality of care or outcomes in a medical home.
A social psychologist has developed a test measure gregariousness. The test is normed so that it has a mean of 70 and a standard deviation of 20, and the gregariousness scores are normally distributed in the population of college students used to ..
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