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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

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(a) Given:

z=1.15z=1.15

The P-value is the probability of obtaining a value more extreme or equal to the standardized test statistic zz, 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=1.15z=1.15.

P(z>1.15)P(z>1.15)

Determine corresponding probability using the normal probability table in the appendix. The probability P(z<1.15)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)=1P(z<1.15)=10.8749=0.1251P(z>1.15)=1-P(z<1.15)=1-0.8749=0.1251

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