A national organization has been working with utilities throughout the nation to

Question

A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 10 miles per hour for a site to be acceptable. Recently, the organization conducted tests at a particular site under construction for a wind machine. To determine whether the site meets the organization's requirements, consider the test, H0: mean= 10 vs. Ha: mean> 10, where mean is the true mean wind speed at the site and alpha= .01. Suppose the observed significance level (p-Value) of the test us calculated to be p= .2807. Interpret this result based on the p-value if .2807. A). Since the p-value greatly exceeds alpha= .10, there is strong evidence to reject the null hypothesis B) since the p-value exceeds alpha= .10, there is insufficient evidence to reject the null hypothesis C). The probability of rejecting the null hypothesis is .2807 D) we are 71.93% confident that the mean= 10 A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 10 miles per hour for a site to be acceptable. Recently, the organization conducted tests at a particular site under construction for a wind machine. To determine whether the site meets the organization's requirements, consider the test, H0: mean= 10 vs. Ha: mean> 10, where mean is the true mean wind speed at the site and alpha= .01. Suppose the observed significance level (p-Value) of the test us calculated to be p= .2807. Interpret this result based on the p-value if .2807. A). Since the p-value greatly exceeds alpha= .10, there is strong evidence to reject the null hypothesis B) since the p-value exceeds alpha= .10, there is insufficient evidence to reject the null hypothesis C). The probability of rejecting the null hypothesis is .2807 D) we are 71.93% confident that the mean= 10 A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 10 miles per hour for a site to be acceptable. Recently, the organization conducted tests at a particular site under construction for a wind machine. To determine whether the site meets the organization's requirements, consider the test, H0: mean= 10 vs. Ha: mean> 10, where mean is the true mean wind speed at the site and alpha= .01. Suppose the observed significance level (p-Value) of the test us calculated to be p= .2807. Interpret this result based on the p-value if .2807. A). Since the p-value greatly exceeds alpha= .10, there is strong evidence to reject the null hypothesis B) since the p-value exceeds alpha= .10, there is insufficient evidence to reject the null hypothesis C). The probability of rejecting the null hypothesis is .2807 D) we are 71.93% confident that the mean= 10

Explanation / Answer

The answer is B option.

In Null hypothesis significance testing, we either reject the null hypothesis if p value is less than the significane level.

Or we fail to reject the null hypothesis if p value is greater than the selected significance level.

In this case p value of .2807 is greater than the significance level, so we fail to reject the null hypothesis. So in other words there is insufficient evidence to reject the null hypothesis.

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