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Question

# Find the p-value for the following large-sample z tests: a. A right-tailed test with observed z=1.15 b. A two-tailed test with observed z=-2.78 c. A left-tailed test with observed z=-1.81

Solution

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(a) Given:

$z=1.15$

The P-value is the probability of obtaining a value more extreme or equal to the standardized test statistic $z$, assuming that the null hypothesis is true.

Since the test is right-tailed, the P-value is the probability that the z-score is larger than $z=1.15$.

$P(z>1.15)$

Determine corresponding probability using the normal probability table in the appendix. The probability $P(z<1.15)$ is given in the row starting with "1.1" and in the column starting with ".05" of the table.

$P(z>1.15)=1-P(z<1.15)=1-0.8749=0.1251$

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