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Testing Hypothesis with P-Value

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A statistician was testing the following hypotheses:
Ho: μ = 500 vs. Ha: μ ≠ 500.
The p-value approach was to be used. A sample of size 49 gave a sample mean of 508. Given that σ = 30 2, and α = 0.01, find the p-value, and write your conclusion.

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Solution Summary

The solution examines test hypothesis for p-values. A conclusion is given.

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Solution:
Null hypothesis:
H0: µ = 500
Alternative Hypothesis:
H0: µ ≠ 500
Level of significance:
Α = 0.01 and critical value Zα = 2.58
Test statistic:
Assume that the null hypothesis is true; the ...

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