A researcher fits a least-squares regression of employees' annual bonus (response yy) on the number of training hours (explanatory xx). With n=30n=30 companies the estimated slope is b1=−0.12b_1=-0.12 and the standard error of the slope is SEb1=0.05\mathrm{SE}_{$$b_1$$}=0.05. Test whether there is a negative association between training hours and annual bonus at the α=0.01\alpha=0.01 significance level. Assume residuals are approximately normal.

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Problem 85Multiple Choice

A researcher fits a least-squares regression of employees' annual bonus (response $y$ ) on the number of training hours (explanatory $x$ ). With $n equals 30$ companies the estimated slope is $b_{1} = - 0.12$ and the standard error of the slope is $S E sub b sub 1 equals 0.05$ . Test whether there is a negative association between training hours and annual bonus at the $alpha equals 0.01$ significance level. Assume residuals are approximately normal.

Do not reject $H sub 0$

There is not sufficient evidence of a negative association at $alpha equals 0.01$

Reject $H sub 0$

There is sufficient evidence of a negative association at $alpha equals 0.01$

Do not reject $H sub 0$

There is sufficient evidence of a negative association at $alpha equals 0.01$

Reject $H sub 0$

There is not sufficient evidence of a negative association at $alpha equals 0.01$

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