Q2. [6 pts]. Significance tests - The basics. A study by the National Sleep Foundation indicates that college students, on average, get 7 hours of sleep per night. A random sample of 169 college students from an introductory statistics class reported an average sleep duration of 6.88 hours with a standard deviation of 0.94 hours. Assuming this sample accurately represents the college student population at large, a hypothesis test was performed to assess whether the average sleep duration is less than 7 hours per night. The p-value from this test is 0.0215.

(a) [2 pts] What are the null hypothesis (H0) and the alternative hypothesis (Ha)?

(b) [2 pts] If the research question were "Do the data provide convincing evidence that the average amount of sleep college students get per night differs from the national average of 7 hours?" what would be the null hypothesis (H0) and the alternative hypothesis (Ha)?

(c) [1 pt] Based on part (b) and assuming the null distribution is symmetric, what is the p- value for the test? Justify or explain your answer. (

d) [1 pt] If the significance level () is set at 5%, are the results from both parts (a) and (b) considered statistically significant? Your answer should be either Yes or No, if your answer is No, please explain it.