Neutropenia is an abnormally low level of neutrophils, which are a type of white

Question

Neutropenia is an abnormally low level of neutrophils, which are a type of white blood cell important in fighting off infections. Suppose that, in a clinical trial of the effects of a new cancer drug, a simple random sample of six patients with metastatic breast cancer who had failed to respond to other treatments were treated with the new experimental drug. As with all clinical trials, side effects were studied along with the effects of the drug, and five of the six patients developed neutropenia. A researcher wishes to construct a 99% confidence interval for p, the proportion of all future patients with metastatic breast cancer who develop neutropenia in conjunction with taking the new experimental drug. Have the requirements for a large- sample or a plus four confidence interval been met? Mark all true statements below with a and all false statements with an. The sample is a simple random sample. The variable in the population is categorical with two possible outcomes, labeled success and failure. There are enough successes and failures in the sample to use a large-sample confidence interval. The requirements for a large-sample confidence interval for a proportion have been met. The sample size is large enough and the confidence level is high enough to use a plus four confidence interval. The requirements for a plus four confidence interval for a proportion have been met.

Explanation / Answer

->It is a simple random sample . Reason : It is clearly mentioned in the question itself

->True, patient with neurtopenia and without can be classified as success andd failure

-> There are not enough success and failures since the sample size is too small

->No, it did not meet, it should be greater than 30

-> True, since plus four confidence interval works for small sample size too

->

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