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Question

# Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject$H _ { 0 }$for the level of significance$\alpha$. Right-tailed test z = 2.46$\alpha = 0.01$

Solution

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In a right-tailed test, the P-value is the probability of obtaining a value of $z$ or greater.

The probability can be found using table 4:

$P(Z>2.46)=1-P(Z<2.46)=1-0.9931=0.0069$

If the P-value is less than the significance level $\alpha$, then reject $H_0$:

$0.0069<0.01\Rightarrow \text{ Reject }H_0$

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