Describe type I and type II errors for a hypothesis test of the indicated claim. A public works department publicizes that at least 50% of applicants become groundskeepers. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you reject H OB. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you reject H OC. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you fail to rej OD. A type I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you fail to rej Describe the type II error. Choose the correct answer below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Describe type I and type II errors for a hypothesis test of the indicated claim.
A public works department publicizes that at least 50% of applicants become groundskeepers.
Describe the type I error. Choose the correct answer below.
O A. Atype I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you reject Ho: p≥ 0.50.
OB. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you reject Ho: p ≤ 0.50.
OC. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you fail to reject Ho: p ≤ 0.50.
OD. A type I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you fail to reject Ho: p20.50.
Describe the type II error. Choose the correct answer below.
O A. A type II error will occur when the actual proportion of applicants who becomegroundskeepers is less than 0.50, but you reject Ho: p ≤ 0.50.
O B. A type Il error will occur when the actual proportion of applicants who becomegroundskeepers is more than 0.50, but you reject Ho: p ≤ 0.50.
O C. Atype Il error will occur when the actual proportion of applicants who become groundskeepers is less than 0.50, but you fail to reject Ho: p20.50.
O D. A type Il error will occur when the actual proportion of applicants who becomegroundskeepers is more than 0.50, but you fail to reject Ho: p²0.50.
Transcribed Image Text:Describe type I and type II errors for a hypothesis test of the indicated claim. A public works department publicizes that at least 50% of applicants become groundskeepers. Describe the type I error. Choose the correct answer below. O A. Atype I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you reject Ho: p≥ 0.50. OB. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you reject Ho: p ≤ 0.50. OC. A type I error will occur when the actual proportion of applicants who become groundskeepers is at most 0.50, but you fail to reject Ho: p ≤ 0.50. OD. A type I error will occur when the actual proportion of applicants who become groundskeepers is at least 0.50, but you fail to reject Ho: p20.50. Describe the type II error. Choose the correct answer below. O A. A type II error will occur when the actual proportion of applicants who becomegroundskeepers is less than 0.50, but you reject Ho: p ≤ 0.50. O B. A type Il error will occur when the actual proportion of applicants who becomegroundskeepers is more than 0.50, but you reject Ho: p ≤ 0.50. O C. Atype Il error will occur when the actual proportion of applicants who become groundskeepers is less than 0.50, but you fail to reject Ho: p20.50. O D. A type Il error will occur when the actual proportion of applicants who becomegroundskeepers is more than 0.50, but you fail to reject Ho: p²0.50.
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