The recommended daily dietary allowance for zinc among males older than age 50 y

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 = 119, x = 12.3, and s = 6.44. Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use = 0.05.) State the appropriate null and alternative hypotheses O H0: = 15 Hai 15 O H0: = 15 Ha: > 15 O Ho: = 15 Ha: # 15 H0: = 15 Ha:

Explanation / Answer

n = 119
xbar = 12.3
s = 6.44

Lets solve the problem now,

a. D is right

Ho: Mu = 15
Ha: Mu < 15

z = (xbar-Mu)/(s/sqrt(n)) = (12.3-15)/(6.44/sqrt(119)) = -4.58

p-value = 0.0000

Option B. Reject Ho. There is sufficient evidence that average daily zinc intake falls below 15 mg/days

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