A medical device company has developed a new needle that they claim reduces the incidence of injection-site reactions for a particular medication. An experiment is to be conducted to determine if there is sufficient evidence to make that claim. Which of the following is a correct description and consequence of a Type I error?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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A medical device company has developed a new needle that they claim reduces the incidence of injection-site reactions for a particular medication. An experiment is to be conducted to determine if there is sufficient evidence to make that claim.

Which of the following is a correct description and consequence of a Type I error?

A. A Type I error would occur if the medical device company incorrectly administers the medication with the new needle, causing it to be impossible to determine whether the number of injection-site reactions have increased or decreased with the new needle. 
B. A Type I error would occur if, in reality, the new needle does not reduce the incidence of injection-site reactions, but the significance test detects such a difference. The consequence of such an error would be that the medical device company would produce this new needle, but it would not be beneficial.
C. A Type I error would occur if, in reality, the new needle reduces the incidence of injection-site reactions, but the significance test does not detect this difference. The consequence of such an error would be that the medical device company would produce this new needle, but it would not be beneficial.
D. A Type I error would occur if, in reality, the new needle does not reduce the incidence of injection-site reactions, but the significance test detects such a difference. The consequence of such an error would be that the medical device company would not produce this new needle when it could have been beneficial.
E. A Type I error would occur if, in reality, the new needle reduces the incidence of injection-site reactions, but the significance test does not detect this difference. The consequence of such an error would be that the medical device company would not produce this new needle when it could have been beneficial.
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