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State the null and alternative hypotheses for the claimThe average age of community college students is 24.6 years.

State the null and alternative hypotheses for the claimThe average age of community-example-1

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The null hypothesis agrees that the results from a test do not differ from what is the average result.

Therefore, H₀ = "The average age of community college students is equal to 24.6 years."

This can also be written as μ = 24.6 (Null hypothesis)

On the other hand, the alternative hypothesis does not agree with the general result or in this case, the average age.

Therefore, H₁ = "The average age of community college students is not equal to 24.6 years."

This can also be written as μ ≠ 24.6. (Two-sided Alternative Hypothesis)

If one-sided, the alternative hypothesis can be μ > 24.6 or μ < 24.6.