Questions: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=-1.73? (Do not round your answer; compute your answer using a value from the table below.)

What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=-1.73? (Do not round your answer; compute your answer using a value from the table below.)
Transcript text: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of $z_{0}=-1.73$ ? (Do not round your answer; compute your answer using a value from the table below.)
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Solution

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Solution Steps

Step 1: Identify the Test Statistic

The test statistic for the hypothesis test is given as \( z_0 = -1.73 \).

Step 2: Determine the One-Tailed p-Value

Using the provided z-table, we find the one-tailed p-value corresponding to \( z_0 = -1.73 \). From the table, we have:

\[ \text{One-tailed p-value} = 0.042 \]

Step 3: Calculate the Two-Tailed p-Value

For a two-tailed hypothesis test, the p-value is calculated by multiplying the one-tailed p-value by 2:

\[ \text{Two-tailed p-value} = 2 \times 0.042 = 0.084 \]

Final Answer

The p-value for the two-tailed one-mean hypothesis test is

\[ \boxed{0.084} \]

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