A Hypothesis Test Is Conducted at the 0

question 47

Multiple Choice

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60,what is the computed value of the test statistic? Round to two decimal places.

• A)1.96
• B)2.07
• C)2.94
• D)3.60

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Definitions:

Mean

The average of a set of numbers, calculated by dividing the sum of all the values by the number of values.

Standard Normal Variable

A random variable that has been normalized so that it has a mean of 0 and a standard deviation of 1, following the standard normal distribution.

Symmetrical Area

A region in a distribution curve where data are evenly distributed on both sides of a central point, indicating balance and uniformity.

Z Score

Another term for Z-score, indicating how far, in standard deviations, a data point is from the average of a set of data.