Mediabistro.com reports that the average business in the US has 14,709 Twitter followers. You select a random sample of 36 local businesses and find that the average number of Twitter followers in the sample is 12,950. Is this sample result sufficient evidence to make the case that the average number of Twitter followers for the population of local businesses is less than the national average? Use a significance level of .05. Assume that the population standard deviation here is 4200 followers. Show the competing hypotheses as: 

H₀: μ > 14,709

H_a: μ < 14,709