According to the Food and Nutrition Board of the National Academy of Sciences, the recommended daily allowance (RDA) of calcium for adults is 800 milligrams. We want to see if less than 50% of persons with an income below the poverty level achieve the RDA of 800 mg.

Question

According to the Food and Nutrition Board of the National Academy of Sciences, the recommended daily allowance (RDA) of calcium for adults is 800 milligrams.  We want to see if less than 50% of persons with an income below the poverty level achieve the RDA of 800 mg.

BlackTom AI · Accepted Answer

The question provided describes a public health comparison: assessing whether less than 50% of people with income below the poverty line achieve the RDA of 800 mg of calcium.

However, there are no answer options listed to evaluate. The field labeled 'answer_options' is an empty list, and the 'answer' field contains a single word 'one-sided' that appears unrelated to any concrete choice among options. This means we cannot perform option-by-option analysis as requested because there are no choices to critique or justify.

In a typical multiple-choice setup for this scenario, one might expect options that propose different hypotheses or statistical methods. If the goal is to test whether the true proportion p of individuals achieving the RDA is less than 0.50, the appropriate approach would usually be a one-sided hypothesis test for a proportion (e.g., H0: p = 0.5 vs Ha: p < 0.5) using a suitable sampling plan, confidence interval, or a z-test (for large samples) or exact binomial test (for smaller samples).

Without concrete options, we can only discuss general considerations: a one-sided test would be justified when the research question specifically concerns whether the proportion is below 50%, rather than merely different from 50%. A two-sided test would be used if the question asked whether the proportion differs from 50% in either direction. The choice between a z-test approximation and an exact test depends on sample size and the expected counts (np and n(1-p)). If the sample size is large enough to satisfy normal approximation conditions, a z-test for proportions is typical; otherwise, an exact binomial test is preferred.

If you can provide the actual answer options, I can walk through each one, explaining why it is correct or incorrect, and align the reasoning with the appropriate statistical concepts.}

Su25-STATS-141-01/BIO-141-01 1.3 - 1.5 Readiness Quiz

According to the Food and Nutrition Board of the National Academy of Sciences, the recommended daily allowance (RDA) of calcium for adults is 800 milligrams. We want to see if less than 50% of persons with an income below the poverty level achieve the RDA of 800 mg.

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