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Pisano et al (2005) studied the "diagnostic performance of digital versus film mammography for breast cancer screening." About 40,000 women participated in the trial; each subject was screened by both methods.
"[The trial] did not measure mortality endpoints. The assumption inherent in the design of the trial is that screening mammographyreduces the rate of death from breast cancer and that if digital mammography
detects cancers at a rate that equals or exceeds that of film mammography, its use in screening is likely to reduce the risk of death by as much as or more than . . . film mammography." Therewas little difference in cancer detection rates for allwomen. However, for women with radiographically dense breasts (about half the subjects and many of the cancers), the detection rate was about 25% higher with digital mammography. This difference is highly significant.
(a) Granting the authors' design assumption, would you recommend digital or film mammography for women with radiographically dense breasts? for other women?
(b) What do you think of the design assumption?
1. in a taste test between coke c and pepsi p a random sample of 15 students gave the following preferences c c p
If a random sample of 36 graduates had an average weekly income of $675, what would you conclude about the validity of the claim?
Write the claim as a mathematical sentence. Stating the null and alternative hypotheses, and identify which represents the claim.
Prepare an analysis of how you developed your instrument. Be sure to describe how you chose your items, how you would norm this instrument.
Statistics is science of conducting studies to: Solve a system of equations.
suppose you are conducting a study with a total of 50 participants from five different regions of the country and you
Employee motivation and its related fields.
Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval and what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?
Find the t-value such that the area in the right tail is 0.02 with 19 degrees of freedom.
The radius of the hole and the radius of the shaft. Let the random variable X denote the clearance, in millimeters. The probability density function of X is?
Mean of 3 goals per game. Find the probability that each of four randomly selected state college hockey games resulted in 6 goals being scored.
Afterward, each mouse is given a hyperactivity rating score. The mean score was x_bar = 14.9 and s = 2.8. Give a 95% confidence interval for the population mean score μ.
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