Identify the Null Hypothesis, Alternative Hypothesis, Test Statistic, P-Value, Conclusion

Essay

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
-The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12. Use a significance level of 0.01 to test the teacher's claim.