Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.46 part per million (ppm). A research team measured the cadmium levels in a random sample of edible mushrooms, where the hypothesis test is to decide whether the mean cadmium level in the sample is greater than the governments' safety limit. The null and alternative hypotheses are Ho: = 0.46 ppm, H: u> 0.46 ppm. Complete parts (a) through (e) below. a. Expiain wnat it wouiu mean to make a type i error. Choose the correct answer below. O A. Atype l error would occur if in fact u>0.46 ppm, but the results of the sampling lead to the conclusion that u = 0.46 ppm. O B. Atype l error would occur if in fact u = 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u> 0.46 ppm. O C. Atype l error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u>0.46 ppm. O D. Atype l error would occur if in fact u> 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u = 0.46 ppm. b. Explain what it would mean to make a type Il error. Choose the correct answer below. O A. A type ll error would occur if in fact u> 0.46 ppm, but the results of the sampling lead to the conclusion that u>0.46 ppm. O B. Atype Il error would occur if in fact u =0.46 ppm, but the results of the sampling fail to lead to the conclusion that u>0.46 ppm O C. A type Il error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u>0.46 ppm. O D. Atype Il error would occur if in fact u> 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u >0.46 ppm.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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please choose the correct options

c. Explain what it would mean to make a correct decision.
Choose the correct answer below.
O A. A correct decision would occur if u + 0.46 ppm and the results of the sampling lead to the rejection of that fact; or if µ = 0.46 ppm and the results of the sampling do not lead to that conclusion.
B. A correct decision would occur if u> 0.46 ppm and the results of the sampling do not lead to the rejection of that fact; or if u + 0.46 ppm and the results of the sampling lead to that conclusion.
O C. A correct decision would occur if u = 0.46 ppm and the results of the sampling lead to the rejection of that fact; or if u> 0.46 ppm and the results of the sampling do not lead to that conclusion.
O D. A correct decision would occur if u = 0.46 ppm and the results of the sampling do not lead to the rejection of that fact; or if µ> 0.46 ppm and the results of the sampling lead to that conclusion.
d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms
equals the safety limit of 0.46 ppm.
Choose the correct answer below.
O A. type I error
O B. correct decision because a true null hypothesis is not rejected
OC. correct decision because a false null hypothesis is rejected
D. type Il error
Transcribed Image Text:c. Explain what it would mean to make a correct decision. Choose the correct answer below. O A. A correct decision would occur if u + 0.46 ppm and the results of the sampling lead to the rejection of that fact; or if µ = 0.46 ppm and the results of the sampling do not lead to that conclusion. B. A correct decision would occur if u> 0.46 ppm and the results of the sampling do not lead to the rejection of that fact; or if u + 0.46 ppm and the results of the sampling lead to that conclusion. O C. A correct decision would occur if u = 0.46 ppm and the results of the sampling lead to the rejection of that fact; or if u> 0.46 ppm and the results of the sampling do not lead to that conclusion. O D. A correct decision would occur if u = 0.46 ppm and the results of the sampling do not lead to the rejection of that fact; or if µ> 0.46 ppm and the results of the sampling lead to that conclusion. d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms equals the safety limit of 0.46 ppm. Choose the correct answer below. O A. type I error O B. correct decision because a true null hypothesis is not rejected OC. correct decision because a false null hypothesis is rejected D. type Il error
Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.46 part per million (ppm). A
research team measured the cadmium levels in a random sample of edible mushrooms, where the hypothesis test is to decide whether the mean cadmium level in the sample is greater than the governments' safety limit. The null and
alternative hypotheses are Ho: µ = 0.46 ppm, Ha:µ > 0.46 ppm. Complete parts (a) through (e) below.
.....
a. Expiain wnat it would mean to make a type i error.
Choose the correct answer below.
O A. Atype I error would occur if in fact u > 0.46 ppm, but the results of the sampling lead to the conclusion that u = 0.46 ppm.
O B. A type I error would occur if in fact u = 0.46 ppm, but the results of the sampling fail to lead to the conclusion that µ> 0.46 ppm.
OC. Atype l error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u >0.46 ppm.
O D. Atype l error would occur if in fact u> 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u = 0.46 ppm.
b. Explain what it would mean to make a type Il error.
Choose the correct answer below.
O A. A type Il error would occur if
fact u > 0.46 ppm, but the
ults of the sampling lead to
conclusion that µ> 0.46 ppm.
B. Atype Il error would occur if in fact u = 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u>0.46 ppm.
OC. A type |l error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u> 0.46 ppm.
O D. Atype II error would occur if in fact u > 0.46 ppm, but the results of the sampling fail to lead to the conclusion that µ > 0.46 ppm.
Transcribed Image Text:Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.46 part per million (ppm). A research team measured the cadmium levels in a random sample of edible mushrooms, where the hypothesis test is to decide whether the mean cadmium level in the sample is greater than the governments' safety limit. The null and alternative hypotheses are Ho: µ = 0.46 ppm, Ha:µ > 0.46 ppm. Complete parts (a) through (e) below. ..... a. Expiain wnat it would mean to make a type i error. Choose the correct answer below. O A. Atype I error would occur if in fact u > 0.46 ppm, but the results of the sampling lead to the conclusion that u = 0.46 ppm. O B. A type I error would occur if in fact u = 0.46 ppm, but the results of the sampling fail to lead to the conclusion that µ> 0.46 ppm. OC. Atype l error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u >0.46 ppm. O D. Atype l error would occur if in fact u> 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u = 0.46 ppm. b. Explain what it would mean to make a type Il error. Choose the correct answer below. O A. A type Il error would occur if fact u > 0.46 ppm, but the ults of the sampling lead to conclusion that µ> 0.46 ppm. B. Atype Il error would occur if in fact u = 0.46 ppm, but the results of the sampling fail to lead to the conclusion that u>0.46 ppm. OC. A type |l error would occur if in fact u = 0.46 ppm, but the results of the sampling lead to the conclusion that u> 0.46 ppm. O D. Atype II error would occur if in fact u > 0.46 ppm, but the results of the sampling fail to lead to the conclusion that µ > 0.46 ppm.
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