A recent study showed that the average number of sticks of gum a person chews in a week is 11. A college student believes that the guys in his dormitory chew less gum in a week. He conducts a study and samples 14 of the guys in his dorm and finds that on average they chew 10 sticks of gum in a week with a standard deviation of 3.1. Test the college student's claim at a=0.01. The correct hypotheses would be: Ο H:μ < 11 HA: µ > 11 (claim) Ο Η: μ 2 11 HA: µ < 11 (claim) Ο Η0: μ 11 HA: µ + 11 (claim) Since the level of significance is 0.01 the critical value is -2.65 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that less gum in a week. There is not enough evidence to reject the claim that less gum in a week. O There is enough evidence to support the claim that less gum in a week. O There is not enough evidence to support the claim that less gum in a week.