An egg supplier claims the standard deviation in the weight of chicken eggs it sells is at least 2.80 grams. A sample of 200 eggs is taken and the standard deviation in weight is found to be 2.77 grams. Use this information to answer the following questions related to a hypothesis test of the claim. Assume alpha=0.10. HO: sigma 2.80 grams (enter correct sign(s)) H1: sigma 2.80 grams (enter correct sign(s)) The claim is (enter either H1 or HO ) The critical value on the left, if there is one = (round to 2 decimals-if none, enter "na") The critical value on the right, if there is one = (round to 2 decimals - if none, enter "na") The test statistic = (round to 2 decimals) The result of the hypothesis test of HO is (enter "reject HO " or "fail to reject HO") Is the claim supported? (enter yes or no)