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 = 116, x bar 12.2, and s = 6.93, Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use alpha = 0.05.) State the appropriate null and alternative hypotheses. H_0: mu = 15 H_a: mu 15 H_0: mu = 15 H_a: mu notequalto 15 H_0: mu = 15 H_a: mu lessthanorequalto 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. 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. 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. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

Ho: mu=15

Ha: mu<15

std error of mean =std deviation/(n)1/2 =0.643

hence test stat z=(X-mean)/std error =-4.35

p value =0.0000

reject Ho; there is suffiicient evidence that average daily zinc intake falls below 15 mg/day

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