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An increasing number of North Americans regularly take vitamins daily. One resea

ID: 3320557 • Letter: A

Question

An increasing number of North Americans regularly take vitamins daily. One researcher for a vitamin company claimed that Americans take an average of 2 or more vitamin supplements daily. A random sample of 188 Americans was asked to report the number of vitamins they take daily. The appropriate hypothesis test was performed, at the 1%=alpha level to test the claim.

t-Test: Mean

Supplements

Mean

2.6702

Standard Deviation

2.5009

Observations

188

Hyothesized Mean

2

t Statistic

3.6745

P(T<=t) One-Tail

0.0002

t Critical One-Tail

2.3465

P(T<=t) Two-Tail

0.0004

t Critical Two-Tail

2.6024

Do these data allow us to infer at the 1% significance level that the researcher’s claim is true?

Do not reject the null; the researcher's claim is true; also, the p value is 0.0002.

Reject the null; the researcher's claim is not true; also, the p value is 0.0004.

Not enough information provided to make an inference about the claim.

None of the above

                                                                                                                                                                                

t-Test: Mean

       

Supplements

       

Mean

       

2.6702

       

Standard Deviation

       

2.5009

       

Observations

       

188

       

Hyothesized Mean

       

2

       

t Statistic

       

3.6745

       

P(T<=t) One-Tail

       

0.0002

       

t Critical One-Tail

       

2.3465

       

P(T<=t) Two-Tail

       

0.0004

       

t Critical Two-Tail

       

2.6024

   

Explanation / Answer

here Answer for this Q. is First ie Do not reject the null; the researcher's claim is true; also, the p value is 0.0002.

the level of significance will be 0.01 hence Calculated P-value is 0.0002

it is Less than level of sognificance ie 0.0002<0.01

hence do not Reject the Null Hypotjesis

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