A teacher's union would like to see if there is a difference in the variability of the salaries eamed 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 $3,500 $3,000 Sample size 25 25 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 o? H, Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed ) the null hypothesis. There is evidence that the population variance for County 1 is the population variance for County 2 b. Use technology to find the p-value and interpret the result