The 95% Confidence Interval For $\beta _ { 1 }$

The 95% confidence interval for $\beta _ { 1 }$ is the interval

A) $\left( \beta _ { 1 } - 1.96 S E \left( \beta _ { 1 } \right) , \beta _ { 1 } + 1.96 S E \left( \beta _ { 1 } \right) \right)$
B) $\left( \widehat { \beta } _ { 1 } - 1.645 \operatorname { SE } \left( \widehat { \beta } _ { 1 } \right) , \widehat { \beta } _ { 1 } + 1.645 \operatorname { SE } \left( \widehat { \beta } _ { 1 } \right) \right)$
C) $\left( \widehat { \beta } _ { 1 } - 1.96 \operatorname { SE } \left( \widehat { \beta } _ { 1 } \right) , \widehat { \beta } _ { 1 } + 1.96 \operatorname { SE } \left( \widehat { \beta } _ { 1 } \right) \right)$
D) $\left( \widehat { \beta } _ { 1 } - 1.96 , \widehat { \beta } _ { 1 } + 1.96 \right)$

Correct Answer:

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