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The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65-74 years: n = 117, x = 12.6, and s= 6.46. Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use a = 0.05.) State the appropriate null and alternative hypotheses. ⒸHO: μ = 15 H₂ > 15 ○ Ho: μ = 15 H₂H < 15 Ho: μ = 15 Ha: μ # 15 Ho: μ = 15 H₂H ≤ 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value= State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. You may need to use the appropriate table in the Appendix of Tables to answer this question.

The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65-74 years: n = 117, x = 12.6, and s= 6.46. Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use a = 0.05.) State the appropriate null and alternative hypotheses. ⒸHO: μ = 15 H₂ > 15 ○ Ho: μ = 15 H₂H < 15 Ho: μ = 15 Ha: μ # 15 Ho: μ = 15 H₂H ≤ 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value= State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. You may need to use the appropriate table in the Appendix of Tables to answer this question.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Statistical Analysis of Zinc Intake in Older Males** The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males aged 65–74 years: - Sample size, \( n = 117 \) - Sample mean, \( \bar{x} = 12.6 \) - Sample standard deviation, \( s = 6.46 \) **Research Question:** Does this data indicate that average daily zinc intake in the population of all males aged 65–74 falls below the recommended allowance? (Use \( \alpha = 0.05 \)) **Hypotheses:** 1. **Null Hypothesis (\( H_0 \)):** - \( \mu = 15 \) 2. **Alternative Hypotheses (\( H_a \)):** - \( \mu > 15 \) - \( \mu < 15 \) - \( \mu = 15 \) - \( \mu \le 15 \) **Statistical Calculation:** Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) - \( z = \) \_\_\_\_\_ - P-value = \_\_\_\_\_ **Conclusion:** Based on the problem context, choose the appropriate conclusion: - Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. - Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. - Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. - Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. **Note:** You may need to use the appropriate table in the Appendix of Tables to answer this question. This educational example demonstrates hypothesis testing in the context of nutritional data, focusing on whether a particular age group meets dietary guidelines.
Transcribed Image Text:**Statistical Analysis of Zinc Intake in Older Males** The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males aged 65–74 years: - Sample size, \( n = 117 \) - Sample mean, \( \bar{x} = 12.6 \) - Sample standard deviation, \( s = 6.46 \) **Research Question:** Does this data indicate that average daily zinc intake in the population of all males aged 65–74 falls below the recommended allowance? (Use \( \alpha = 0.05 \)) **Hypotheses:** 1. **Null Hypothesis (\( H_0 \)):** - \( \mu = 15 \) 2. **Alternative Hypotheses (\( H_a \)):** - \( \mu > 15 \) - \( \mu < 15 \) - \( \mu = 15 \) - \( \mu \le 15 \) **Statistical Calculation:** Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) - \( z = \) \_\_\_\_\_ - P-value = \_\_\_\_\_ **Conclusion:** Based on the problem context, choose the appropriate conclusion: - Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. - Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. - Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. - Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. **Note:** You may need to use the appropriate table in the Appendix of Tables to answer this question. This educational example demonstrates hypothesis testing in the context of nutritional data, focusing on whether a particular age group meets dietary guidelines.
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