Pregunta
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The test statistic of is obtained when testing the claim that . This is a right-tailed test. Using a 0.01 significance level, complete parts (a) and (b).
Click here to view the standard normal distribution table for negative scores. Click here to view the standard normal distribution table for positive scores.
a. Find the critical value(s).
Select the correct choice below and fill in the answer box(es) within your choice.
(Round to two decimal places as needed.)
A. There is one critical value; the critical value is .
B. There are two critical values, the lower critical value is and the upper critical value is
B.

Ask by Olson Delgado. in the United States
Mar 21,2025

Solución de inteligencia artificial de Upstudy

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There is one critical value, which is 2.33.

Solución

We are given a right-tailed test at significance level . This means that the area in the right tail of the standard normal distribution is 0.01. The corresponding critical value is the -score such that
This is equivalent to finding where
From the standard normal distribution table, we find that
Thus, there is one critical value and it is .
The correct choice is:
A. There is one critical value; the critical value is .

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Mind Expander

To determine the critical value for a right-tailed test at a 0.01 significance level, we look for the z-score that corresponds to the area of 0.99 (since we’re looking for the upper tail) in the standard normal distribution table.
Using the z-table, we find that the critical value is approximately . Therefore, the correct choice is:
A. There is one critical value; the critical value is .
Now for part (b):
To assess how the test statistic compares to the critical value, we check if is less than . Since it’s not in the critical region, we would fail to reject the null hypothesis.
However, if you did want to pursue this further, you could explore how changing the significance level might alter the outcome!

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