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Medical tests are used to indicate whether a person has a particular disease.
The sensitivity of a test is the probability that a person having the disease will test positive (indicating the person has the disease, i.e., it's the probability the test will pick up the fact that a person has the disease).
The specificity of a test is the probability that a person not having the disease will test negative.
A test for a certain disease has been in use for many years. Based on the "track record" of this test, its sensitivity is .934 and its specificity is .968. Finally, in the population, 1 in 500 people has the disease.
a) What is the probability that a person who tests positive actually has the disease?
b) What value would the specificity of the test have to have in order for the probability to exceed .5 that a person who tests positive actually has the disease?
A recent article in the Arizone Republic indicated that the mean sellingprice of the homes in the area is more than $220,000. Can we conclude that the mean selling price in the Goodyear, AZ area is more than $220,000.
Based on this sample information find out what percent of variation in starting salaries is described by GPA, and find out the equation that would forecast salary from GPA. Give a scatter plot.
First, describe in your own words (no direct quotes, please) what a dummy variable is and its purpose in regression analysis. Secondly, provide an example of where you might use a dummy variable from your own professional experience.
Mention your decision regarding the null hypothesis. If H 0 rejected can we conclude that treatment 2 and treatment 3 differ? Use 95 percent level of confidence.
Richard is one of test takers. Find out the number of questions he can expect to get right on test by random guessing.
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
What is Bayesian sample size determination for ANOVA and regression with formula?
According to a well-known newspaper journal, 58.3% of the 222,900 households in particular county get the Sunday edition of local newspaper. Assume that random samples of 200 households are selected.
Use descriptive statistics to explain how parental involvement and interests in child's education can impact on educational attainment measured in terms of their numeracy (v24_7), literacy (v28_7) and creativity skills (v25_7 and v26_7)
Looking at the data, the manufacturer is incorrect in its label claim. Perform hypothesis testing to prove or disprove it. Is the manufacturer correct in its label claim? Explain.
Determine the strength of the causal relationship between monthly sales and new home construction by using correlation.
Let x = number of the ball obtained on any selection. Then the probability distribution for x is given by:
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