# statistics: Calculating P-value

Give the p-value for the hypothesis test.

For testing the null hypothesis at the 4% level of significance that mu GE 100 vs the alternative that mu < 100, the test statistic is:

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Give the p-value for the hypothesis test.

For testing the null hypothesis at the 4% level of significance that mu GE 100 vs the alternative that mu < 100, the test statistic is:

Z = (xbar - 100)/(s/sqrt(n)). Reject the null hypothesis if Z < - 1.751

The observed Z is (95.52 - 100)/(10.36/10) = - 4.48/1.036 = - 4.32. The corresponding P-value is, from excel NORMDIST, equal to .000078.

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This solution help explain how to calculate p-value for a hypothesis test.

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