Suppose that we have a sample of size n=19n=19 and calculate r=−0.54r=−0.54. You are interested in...
Suppose that we have a sample of size n=19n=19 and calculate r=−0.54r=−0.54. You are interested in testing whether or not there is a linear relationship using ρρ, the population coefficient of correlation. At which of the following significance levels would you reject the null hypothesis?
- (I) α=0.10α=0.10
- (II) α=0.05
- (III) α=0.01
Homework Answers
| n= | 19 | |
| r= | -0.54 | |
| test statistic r*(√(n-2)/(1-r2))= | -2.6453 | |
| from excel:p value =tdist(abs(2.6453,19-2,2) = | 0.0170 |
therefore we will reject Ho when alpha is greater than 0.0170
we will reject the null hypothesis at alpha =0.10 and alpha =0.05
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