A quality control analyst wants to determine whether the variability in the weight of small snack packets has decreased from what was previously known. She takes a random sample of $7$ packets and performs a left-tailed chi-square test at the $1\%$ significance level. What is the critical value and rejection region for this left-tailed chi-square test?

Critical value: ${\chi }_{0.99,6}^2=0.872$

Rejection region:

Critical value: ${\chi }_{0.99,6}^2=0.872$

Rejection region: ${\chi }^2>0.872$

Critical value: ${\chi }_{0.99,6}^2=16.812$

Rejection region:

Critical value: ${\chi }_{0.99,6}^2=16.812$

Rejection region: ${\chi }^2>16.812$