Answer Happy

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 0.5 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 less than the governments' safety limit. The null and alternative hypotheses are Ho: μ=0.5 ppm, H₂: <0.5 ppm. Complete parts (a) through (e) below. a. Explain what it would mean to make a type I error. Choose the correct answer below. OA. A type I error would occur if in fact μ = 0.5 ppm, but the results of the sampling lead to the conclusion that u<0.5 ppm. B. A type I error would occur if in fact µ<0.5 ppm, but the results of the sampling lead to the conclusion that u=0.5 ppm. OC. A type I error would occur if in fact μ = 0.5 ppm, but the results of the sampling fail to had to the conclusion that p<0.5 ppm. OD. A type I error would occur if in fact µ<0.5 ppm, but the results of the sampling fail to lead to the conclusion that μ = 0.5 ppm. b. Explain what it would mean to make a type Il error. Choose the correct answer below. OA. A type Il error would occur if in fact µ = 0.5 ppm, but the results of the sampling fail to lead to the conclusion that p<0.5 ppm. OB. A type Il error would occur if in fact μ = 0.5 ppm, but the results of the sampling lead to the conclusion that u <0.5 ppm. OC. A type Il error would occur if in fact u<0.5 ppm, but the results of the sampling fail to lead to the conclusion that μ< 0.5 ppm. OD. A type Il error would occur if in fact u<0.5 ppm, but the results of the sampling lead to the conclusion that μ<0.5 ppm.

c. Explain what it would mean to make a correct decision. Choose the correct answer below. OA. A correct decision would occur if u *0.5 ppm and the results of the sampling lead to the rejection of that fact; or if u=0.5 ppm and the results of the sampling do not lead to that conclusion. OB. A correct decision would occur if μ = 0.5 ppm and the results of the sampling lead to the rejection of that fact; or if μ<0.5 ppm and the results of the sampling do not lead to that conclusion. 0.5 ppm and the results of the sampling do not lead to the rejection of that fact; or if p<0.5 ppm and the results of the OC. A correct decision would occur if sampling lead to that conclusion. OD. A correct decision would occur if sampling lead to that conclusion. <0.5 ppm and the results of the sampling do not lead to the rejection of that fact, or if u 0.5 ppm and the results of the es e sc

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 0.5 ppm. Choose the correct answer below. OA. correct decision because a false null hypothesis is rejected OB. type I error OC. type Il error OD. correct decision because a true null hypothesis is not rejected e. 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 is below the safety limit of 0.5 ppm. Choose the correct answer below. A. type I error OB. correct decision because a true null hypothesis is not rejected OC. type Il error D. correct decision because a false null hypothesis is rejected