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QUESTION 9 A nutritionist claims that children under the age of 10 years are consuming more...

QUESTION 9 A nutritionist claims that children under the age of 10 years are consuming more than the U.S. Food and Drug Administration’s recommended daily allowance of sodium, which is 2400 mg. To test this claim, she obtains a random sample of 75 children under the age of 10 and measures their daily consumption of sodium. This sample has a mean of 2610 mg and leads to a p -value of .124. Claim: The mean level of sodium consumption for children under 10 years of age is more than 2400 mg. Noting that the p -value of .124 is > equation = .05, w hat would be the correct response to this claim?

There is not enough information to make a decision.

The evidence is not strong enough to prove the nutrionist's claim, therefore, the claim is wrong and the mean sodium level is less than 2400 mg.

The evidence is not strong enough to support the nutriontist's claim that the mean sodium level is more than 2400 mg, but this does not mean that the claim is not true.

There is strong evidence to support the nutritionist's claim the the mean sodium level is more than 2400 mg.

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Expert Solution

A nutritionist claims that children under the age of 10 years are consuming more than the U.S. Food and Drug Administration’s recommended daily allowance of sodium, which is 2400 mg.

To test this claim, she obtains a random sample of 75 children under the age of 10 and measures their daily consumption of sodium. This sample has a mean of 2610 mg

and leads to a p -value of .124.

Claim: The mean level of sodium consumption for children under 10 years of age is more than 2400 mg. Noting that the p -value of .124 is > equation = .05, w hat would be the correct response to this claim?

Answer is : The evidence is not strong enough to support the nutriontist's claim that the mean sodium level is more than 2400 mg, but this does not mean that the claim is not true.

( may be less than or equal to 2400  )

using p value approach we reject Ho if p value is less than alpha value here p value is greater than alpha value

hence we fail to reject Ho that is we accept Ho means that population mean is equal or less than 2400 mg


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