According to a recent article in a student-run newspaper, community college students get an average of 7.5 hours of sleep per night. Kailyn believed that this number was too high so they computed the mean and standard deviation for the number of hours slept by 96 randomly selected community college students; these statistics were 6.9 hours and 2.1 hours, respectively. After checking all the requisite conditions that must be met to perform a hypothesis test here (Randomi- zation, Independence, 10% Condition, Sufficiently Large Sample Size) were met, Kailyn correctly computed the P-Value; it was 0.003 when rounded and reported with three digits after the decimal point. Address questions 1 through 4. [2.5 pts] 1. Use the appropriate symbols to state the null and alternative hypotheses? [2.5 pts] 2. Describe the specific event in this hypothesis test that has the conditional probability equal to 0.003 of occurring. Recall that a conditional probability is the possibility of an event or outcome happening based on the existence of another event or outcome; be sure that your description includes both events/outcomes. [2.5 pts] 3. If you decide to perform this hypothesis test at the 1% level of significance, should you reject the null hypothesis you stated in the first question? Why or why not? [ Your conclusion here should only be about whether you would reject the null hypothesis, or not.] [2.5 pts] 4. What conclusion can Kailyn make at the 1% level of significance about the average nightly sleep-time of community college students