Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the downsides of the screening process, the article states that the rate of false-positives is higher than previously thought, and that false-positives lead to unnecessary medical follow-up that can be costly. Suppose that screening is used to decide between a null hypothesis of H0: no cancer is present and an alternative hypothesis of Ha: cancer is present. d) Which type of error are the researchers concerned about when they say that false-positives lead to unnecessary medical follow-up? Explain why it would be reasonable to use a small significance level. a. Researchers are concerned about a Type I error. Using a small significance level reduces the probability of failing to detect cancer in a patient who actually has cancer, making unncessary medical follow-ups less common. b. Researchers are concerned about a Type I error. Using a small significance level reduces the probability of incorrectly diagonosing a patient with cancer, making unncessary medical follow-ups less common. c. Researchers are concerned about a Type II error. Using a small significance level reduces the probability of incorrectly diagonosing a patient with cancer, making unncessary medical follow-ups less common. d. Researchers are concerned about a Type II error. Using a small significance level reduces the probability of failing to detect cancer in a patient who actually has cancer, making unncessary medical follow-ups less common.

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Description: Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the downsides of the screening process, the article states that the rate of f

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the downsides of the screening process, the article states that the rate of false-positives is higher than previously thought, and that false-positives lead to unnecessary medical follow-up that can be costly.

Suppose that screening is used to decide between a null hypothesis of

H_0: no cancer is present

and an alternative hypothesis of

H_a: cancer is present.

Which type of error are the researchers concerned about when they say that false-positives lead to unnecessary medical follow-up? Explain why it would be reasonable to use a small significance level.

a. Researchers are concerned about a Type I error. Using a small significance level reduces the probability of failing to detect cancer in a patient who actually has cancer, making unncessary medical follow-ups less common.

b. Researchers are concerned about a Type I error. Using a small significance level reduces the probability of incorrectly diagonosing a patient with cancer, making unncessary medical follow-ups less common.

c. Researchers are concerned about a Type II error. Using a small significance level reduces the probability of incorrectly diagonosing a patient with cancer, making unncessary medical follow-ups less common.

d. Researchers are concerned about a Type II error. Using a small significance level reduces the probability of failing to detect cancer in a patient who actually has cancer, making unncessary medical follow-ups less common.

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