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Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter - for as needed.) Hoi H₂: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject H. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. (c) What is the p-value for the test conducted in part (b)? (Use technology to find the p-value. Round your answer to four decimal places.) p-value

Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter - for as needed.) Hoi H₂: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject H. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. (c) What is the p-value for the test conducted in part (b)? (Use technology to find the p-value. Round your answer to four decimal places.) p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for as needed.) Ho: H₁: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject H. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. (c) What is the p-value for the test conducted in part (b)? (Use technology to find the p-value. Round your answer to four decimal places.) p-value = The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.52 mg. We want to test whether the standard deviation from the low-income group is comparable to that of the general population. (d) State the hypotheses (in mg2) that we can use to answer this question. (Enter != for as needed.) Ho: H₂:
Transcribed Image Text:Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for as needed.) Ho: H₁: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Reject Ho. There is insufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. O Fail to reject H. There is sufficient evidence to conclude that the mean iron intake among the low-income group is different from that of the general population. (c) What is the p-value for the test conducted in part (b)? (Use technology to find the p-value. Round your answer to four decimal places.) p-value = The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.52 mg. We want to test whether the standard deviation from the low-income group is comparable to that of the general population. (d) State the hypotheses (in mg2) that we can use to answer this question. (Enter != for as needed.) Ho: H₂:
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