Is depression a common problem among college students? Research has shown many college students suffer some form of depression due to the stress of school work, finances, relationships, etc. This is why all schools offer some form of counseling to help those in need. A study claimed that between the years of 2019 and 2020, the percentage of college students suffering from some form of depression was 39%. Suppose you conducted a survey from a random sample of 59 college students and found that 16 suffered from some form of depression. Use a 1% level of significance to determine whether the proportion of college students suffering from some form of depression has changed from 39%. I USE SALT (a) What is the level of significance? A State the null and alternate hypotheses. (Enter != for # as needed.) Ho H (b) What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. We'll use the Student's t, because the sample size is not sufficiently large since np < 5 and nq < 5. We'll use the Student's t, because the sample size is sufficiently large since np > 5 and ng > 5. We'll use the standard normal, because the sample size is sufficiently large since np > 5 and ng > 5. We'll use the standard normal, because the sample size is not sufficiently large since np < 5 and nq < 5. Use the value of the sample test statistic to find the corresponding z value. (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) P-value = 8:10 LJ