I'm new to using chi-square table, and I assume that it should not be hard to use but yet I have some problems with it.
I am due to find the following in a chi-square table: $P(Y>5)$ where $Y$ follows a chi-square distribution with $5$ degrees of freedom. We have not been given any significance level/alpha. How do I use the table to find the answer?
We can use the chi-squared table to find the values of $\chi_{n,\alpha}^2$ such that $$ P(\chi_n^2>\chi_{n,\alpha}^2)=\alpha, $$ where $\chi_n^2$ is a random variable that has the chi-squared distribution with $n$ degrees of freedom and $0\le\alpha\le1$.
So we have to choose the number of degrees of freedom (different values of the degrees of freedom are usually rows of the table) and $\alpha$ (different values of $\alpha$ are usually columns of the table) to determine the value of $\chi_{n,\alpha}^2$. For example, if $n=5$ and $\alpha=0.1$, $\chi_{n,\alpha}^2=9.236$ using this table.
