A health administration recommends that individuals consume 1000 mg of calcium daily. After an advertising campaign...
A health administration recommends that individuals consume 1000 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 1020 mg, with a standard deviation of 150 mg. Is there significant evidence to support the statement of the association at the alphaαequals=0.05 level of significance?
The correct hypotheses is
Upper H 0H0:
muμ
less than<
1000
Upper H 1H1:
muμ
greater than>
1000
The test statistic is
t 0t0equals=1.0102
The corresponding p-value is 0.1587
What conclusion can be drawn?
A.
Do not rejectDo not reject
Upper H 0H0.
There is
nothingsufficient
evidence to conclude that male teenagers consume more than the recommended daily amount of calcium.
B.
RejectReject
Upper H 0H0.
There is
nothingsufficient
evidence to conclude that male teenagers consume less than the recommended daily amount of calcium.
C.
Do not rejectDo not reject
Upper H 0H0.
There is
not nbspnot sufficient
evidence to conclude that male teenagers consume more than the recommended daily amount of calcium.
D.
RejectReject
Upper H 0H0.
There is
not nbspnot sufficient
evidence to conclude that male teenagers consume less than the recommended daily amount of calcium.
Homework Answers
From previous part:
P - value = 0.1587 which is greater than 0.05. So, we do not reject Ho.
Option C is correct.
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