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Question
A random sample of two variables, x and y, produced the following observations:
| x | y | |
| 19 | 7 | |
| 13 | 9 | |
| 17 | 8 | |
| 9 | 11 | |
| 12 | 9 | |
| 25 | 6 | |
| 20 | 7 | |
| 17 | 8 |
Test to determine whether the population correlation coefficient is negative. Use a significance level of 0.05 for the hypothesis test.
A) Because t = -4.152 < -1.9432, reject the null hypothesis. Because the null hypothesis is rejected, the sample data does support the hypothesis that there is a negative linear relationship between x and y.
B) Because t = -4.152 < -1.9432, do not reject the null hypothesis. Because the null hypothesis is not rejected, the sample data support the hypothesis that there is a negative linear relationship between x and y.
C) Because t = -9.895 < -1.9432, reject the null hypothesis. Because the null hypothesis is rejected, the sample data does support the hypothesis that there is a negative linear relationship between x and y.
D) Because t = -9.895 < -1.9432, do not reject the null hypothesis. Because the null hypothesis is not rejected, the sample data support the hypothesis that there is a negative linear relationship between x and y.
Answer
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