A National Organization Has Been Working with Utilities Throughout the Nation

question 82

Multiple Choice

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 11 miles per hour $( \mathrm { mph } )$ for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 11$ vs. $H _ { \mathrm { a } } : \mu > 11$ , where $\mu$ is the true mean wind speed at the site and $\alpha = .01$ . Suppose the observed significance level ( $p$ -value) of the test is calculated to be $p = 0.4052$ . Interpret this result.

• A) Since the \(p\)-value exceeds \(\alpha = .01\), there is insufficient evidence to reject the null hypothesis.
• B) We are \(59.48 \%\) confident that \(\mu = 11\).
• C) Since the \(p\)-value greatly exceeds \(\alpha = .01\), there is strong evidence to reject the null hypothesis.
• D) The probability of rejecting the null hypothesis is \(0.4052\).

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Definitions:

Exact Replications

The attempt to precisely recreate the conditions and methodology of a study to verify its findings, with no alterations.

Meta-Analysis

A statistical method that combines the results of multiple scientific studies to arrive at a conclusion that has greater statistical power.

Literature Review

A comprehensive overview of existing research and publications on a specific topic.

Data Analysis

The process of systematically applying statistical and/or logical techniques to describe, illustrate, condense, recap, and evaluate data.