A researcher believes that the average mortgage debt of households in a certain neighborhood is less than $120,000. A ra

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A researcher believes that the average mortgage debt of
households in a certain neighborhood is less than $120,000. A
random sample of 45 households in the neighborhood revealed an
average mortgage debt of $105,000. Does the evidence support the
researcher’s belief? (at α = .01)
Assume the population standard deviation is $38,000.
What is the probability of getting a result as least as extreme
as x̅ if the null hypothesis is true? Compute the p value. Round to
3 decimal places.
p=