A health administration recommends that individuals consume

A health administration recommends that individuals consume 900mg of calcium daily. After an advertising campaign aimed at male teenagers, a dairy association states that male teenagers consume more than the recommended daily amount of calcium. To support this statement, the association obtained a random sample of 50 male teenagers and found that the mean amount of calcium consumed was 915 mg, with a standard deviation of 120mg. Is there significant evidence to support the statement of the association at the a=0.05 level of significance?

Choose the correct hypothesis:

HO:___ ____ 900

HI:___ ___ 900

Find the test statistic

to=

Find the P value

The p-value is_____

What conclusion can be drawn?

a. Reject HO. There is sufficient evidence to conclude that male teenagers consume less than the recommended daily amount of calcium.

b. Do not reject HO. There is not sufficient evidence to conclude that male teenagers consume less than the recommended daily amount of calcium.

c. Do not reject HO. There is sufficient evidence to conclude that male teenagers consume less than the recommended daily amount of calcium.

d. Reject HO. There is not sufficient evidence to conclude that male male teenagers consume less than the recommended daily amount of calcium.

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   900  
Ha:    u   >   900   [ANSWER]

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df = n - 1 =    49          
              
Getting the test statistic, as              
              
X = sample mean =    915          
uo = hypothesized mean =    900          
n = sample size =    50          
s = standard deviation =    120          
              
Thus, to = (X - uo) * sqrt(n) / s =    0.883883476 [ANSWER]

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Also, the p value is, as this is right tailed,              
              
p =    0.190537753   [ANSWER]

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As P > 0.05,

b. Do not reject HO. There is not sufficient evidence to conclude that male teenagers consume less than the recommended daily amount of calcium. [ANSWER, B]