Question

In a recent health survey it was found that the average beef consumption in the U.S....

In a recent health survey it was found that the average beef consumption in the U.S. per person was 90 pounds per year. A research firm wishes to find whether beef consumption has decreased and does a study to test the null and alternative hypotheses. The test statistics is t = -2.147 with 30 degrees of freedom. Compute the P-value for the test.

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Answer #1

Compute the P-value for the test:

Set hypothesis:
Null hypothesis: H0: The average beef consumption in the U.S. per person is same as last year

Alternative hypothesis: Ha: The average beef consumption in the U.S. per person has decreased.

Given,

The test statistics is t = -2.147 with 30 degrees of freedom.

Compute the P-value for the test by using excel function =TDIST(2.147,30,1)

P-value = 0.0199.

Decision: P-value (0.0199) is less than 0.05 then reject H0.

Conclusion:

The average beef consumption in the U.S. per person has decreased.

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