A teacher's union would like to see if there is a difference in the variability of the salaries earned by high school teachers in one county as compared to another. A random sample of teacher salaries from each county was selected, and the standard deviation of each sample was calculated. Use the information given below to complete parts a and b. County 1 County 2 Sample standard deviation $3,900 $3,300 Sample size 20 20 a. Using a = 0.10, determine if there is a difference in the variability of the salaries in the two counties. Identify the null and alternative hypotheses. Ho: 02 = H1: 02 # 03 Calculate the appropriate test statistic. The test statistic is 1.40 . (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) 2.168 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Do not reject the null hypothesis. There is insufficient evidence that the population variance for County 1 is different from the population variance for County 2. b. Use technology to find the p-value and interpret the result. The p-value is Round to three decimal places as needed.)