Question

When a medical diagnostic procedure does not detect the disease that is really present it is called a “false negative”. In testing a new diagnostic procedure, a random sample of 180 patients with the disease, the new procedure yielded 16 “false negatives”.

a. Estimate the true proportion of all cases the diagnostic will yield a false negative, using 95% confidence. (18)

b. Verify that the sample size used in part A is large enough for the procedure to be considered valid. (3)

c. How many cases would need to be sampled to estimate the desired proportion to within a margin of error of 2%, using 95% confidence? (8)

Answer #1

1. The CDC is using a rapid diagnostic test to measure the
incidence of cholera in the Florida. It was determined that the
probability of a + test given cholera was 95% while the probability
of a - test given no cholera was 80%. It is estimated that 6% of
the Floridian population may have cholera. a. Draw and label a tree
diagram. Use N=10,000 for the population. Please draw and label
completely this diagram with the Disease Status in...

A medical researcher would like to determine how effective a new
form of knee surgery is for
treating knee pains. (In particular, is there a relationship
between surgery status and pain
reduction status?) He gathers 500 people with knee pain who are
scheduled to have this
surgery, and 500 people with knee pain who are not scheduled to
have this surgery. He follows
up with both groups after 2 months and determines the number of
participants of each group
who...

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