A health administration recommends that individuals consume 900 mg of calcium da

Question

A health administration recommends that individuals consume 900 mg 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 100 mg. Is there significant evidence to support the statement of the association at the a = 0.5 level of significance?

Choose the correct hypothesis:

H0: (, , ) (=,,) 900

H1: (, , ) (=,,) 900

Find the test statistic. t0 = ___________ (round to two decimal places as needed)

Find the P-Value.

The P-value is _________. (round to three decimal places as needed)

What conclusion can be drawn?

___ A. Do not reject Ho. There is not sufficient evidence to conclude that male teenagers consume more than the recommended daily amount of calcium.

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

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

___ D. Do not reject Ho. There is sufficient evidence to conclude that male teenagers consume more than the recommended daily amount of calcium

Explanation / Answer

a)

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

***************************

b)
              
As we can see, this is a    right   tailed test.      
              
df = n - 1 =    49          
              
Getting the test statistic, as              
              
X = sample mean =    915          
uo = hypothesized mean =    900          
n = sample size =    50          
s = standard deviation =    100          
              
Thus, t0 = (X - uo) * sqrt(n) / s =    1.060660172 [ANSWER, t0]          

**************************

c)
              
Also, the p value is              
              
p =    0.147022285   [ANSWER]

***************************

d)

As P > 0.05,      
              
OPTION A. Do not reject Ho. There is not sufficient evidence to conclude that male teenagers consume more than the recommended daily amount of calcium. [ANSWER, A]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.