According to CDC estimates, at least 2.8 million people in the United States are sickened each year with antibiotic-resistant infections, and at least 35,000 die as a result. Antibiotic resistance occurs when disease-causing microbes become resistant t antibiotic drug therapy. Because this resistance is typically genetic and transferred to the next generations of microbes, it is a very serious public health problem. Of the three infections considered most serious by the CDC, gonorrhea has an estimated 1.13 million new cases occurring annually, and approximately 50% of those cases are resistant to any antibiotic.
Suppose a local health clinic sees 20 cases. The exact binomial probability that 13 or more cases are resistant to any antibiot is 0.1316.
5.
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(a) Show that this setting satisfies the rule of thumb for the use of the Normal approximation just barely). Give your answers zone decimal place.
© Macmilan Leal
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