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A standard screening test for Down's syndrome is based on a combination of maternal age and the level of serum alpha-feroprotein. Using this test 80% of Down's syndrome cases can be identified at birth, while 5% of normals are detected as positive.
a. What is the sensitivity and specificity of the test?
b. Assume that 1/500 births have this genetic condition. What is the percentage of births who test positive using this test will actually have the condition?
Give an example of a hypothesis test. State what the Null and the Alternative hypotheses.
A random sample of 346 individuals is selected, and the individuals are classified according to their smoking habits and the smoking habits of their parents. The results are given in the contingency table below.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are between 40 and 48 cm in length?
Testing equality of variances - evidence of a difference in the variability of monthly talking time on cell phones for men and women?
A pharmaceutical company has developed a screening test for a rare disease that afflicted 2% of the population. Unfortunately, the reliability of this test is only 80%, which means that 20% of the tested will get a false positive.
What proportion of sample means would be between 1.31 and 1.33 inches?
At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
What is the probability that the debt for a borrower with good credit is more than $18,000?
Select the level of significance, and determine critical, ZCR value.
In a binomial distribution n = 8 and π = 0.2. Determine the probabilities of the following events.
Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group Perform the chi-square test for a uniform distribution at α = .01
Four properties are randomly selected from each neighborhood and the ratios recorded for each as follows:
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