State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed:
In testing the significance of the regression slope coefficient for the independent variable,HOURS,the calculated test statistic is approximately t = -1.47.

Question

State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed:

In testing the significance of the regression slope coefficient for the independent variable,HOURS,the calculated test statistic is approximately t = -1.47.

Quizplus · Accepted Answer

Since a test statistic is provided, it indicates that a hypothesis test has been conducted. The null hypothesis is generally stated as the regression slope coefficient being equal to zero, and the alternative hypothesis is that it is not equal to zero. Since the calculated test statistic is not provided with a p-value, we cannot make a statement about the level of significance, but we can state that the test statistic provides evidence against the null hypothesis if it falls in the rejection region. Given that the calculated test statistic is -1.47, we would reject the null hypothesis if the critical t-value at the desired level of significance is less than -1.47. Therefore, Answer A is correct.

State University Recently Randomly Sampled Seven Students and Analyzed Grade