Question

the value obtained for the test statistic in a one - mean z - test is given for a right - tailed test. determine the p - value.
the test statistic in a right - tailed one - mean z - test is 1.68.
the p - value is
(round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for P - value in right - tailed z - test

For a right - tailed one - mean z - test, the P - value is \(P(Z>z)\), where \(z\) is the test statistic. We know that \(P(Z > z)=1 - P(Z\leq z)\)

Step2: Find \(P(Z\leq1.68)\) using the standard normal table

Looking up the value of \(z = 1.68\) in the standard normal table (z - table). The value of \(P(Z\leq1.68)\) is \(0.9535\)

Step3: Calculate the P - value

Using the formula \(P(Z>1.68)=1 - P(Z\leq1.68)\)
Substitute \(P(Z\leq1.68) = 0.9535\) into the formula: \(P(Z>1.68)=1 - 0.9535=0.0465\approx0.047\)

Answer:

\(0.047\)