A Study of 20 Students Showed That the Correlation Between

question 48

Multiple Choice

A study of 20 students showed that the correlation between the time spent writing a test and the number of hours studied the night before the test was 0.35. Using a level of significance equal to 0.05, what does this imply?

• A) The sample correlation coefficient could be 0 since the test statistic does not fall into the rejection region.
• B) The null hypothesis that the population mean is equal to 0 should not be rejected, and we should conclude that the true correlation coefficient is 0.
• C) There is not enough statistical evidence to conclude that the true correlation coefficient is different from 0.
• D) The null hypothesis that the population variance is equal to 0 should be rejected, and we should conclude that the true correlation coefficient is 0.

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Definitions:

Normal Distribution

A probability distribution that is symmetric about its mean, indicating that data near the mean are more frequent in occurrence.

Chi-squared Distribution

A statistical distribution characterized by degrees of freedom, used in hypothesis testing for categorical variables and in determining chi-squared test results.

Confidence Intervals

A numerical interval, associated with a specific likelihood, expected to encompass the actual value of an unidentified population statistic.

Population Variance

The measure of how much the numbers in a population differ from the mean value of the population.