Use the appropriate table to find the following probability: $\mathrm { P } \left( \chi ^ { 2 } 7.815 \right)$ for $\mathrm { df } = 3$.
A) $0.950$
B) $0.900$
C) $0.050$
D) $0.100$

Question

Use the appropriate table to find the following probability: $\mathrm { P } \left( \chi ^ { 2 } > 7.815 \right)$ for $\mathrm { df } = 3$.
A) $0.950$
B) $0.900$
C) $0.050$
D) $0.100$

Quizplus · Accepted Answer

The probability $P(\chi^2 > 7.815)$ for $df = 3$ corresponds to the upper tail probability of a chi-square distribution. Looking at a chi-square distribution table for $df = 3$, the value 7.815 is typically associated with a significance level of $0.05$ or $5\%$, indicating that there is a $5\%$ chance of observing a chi-square value greater than 7.815 by chance alone.

Use the Appropriate Table to Find the Following Probability P(χ2>7.815)\mathrm { P } \left( \chi ^ { 2 } > 7.815 \right)P(χ2>7.815)

Use the Appropriate Table to Find the Following Probability $\mathrm { P } \left( \chi ^ { 2 } > 7.815 \right)$