the director of a state agency believes that the average starting salary for clerical employees In the state Is less than $29.000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean Is $28,650. State the appropriate null and alternative hypotheses. Assuming the population standard deviation is known to be $3000 and the significance level for the test is to be 0.10 Based on the Information In part b. what conclusion should be reached with respect to the null hypothesis? Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain. State the appropriate null and alternative hypotheses. Choose the correct answer below. D A. Ho p= 28.650 O B. Ho: 1 2 26,650 O C. Ho: $ 29.000 HA: H # 28,650 H: 1 29,000 O D. Hy p 2 29.000 O E. Hy: Us 26,650 OF. Hyp= 29.000 New ship HA H 28,650 HA H # 29,000 Part b has been removed What conclusion should be reached based on the information of part b? Do not reject the null hypothesis. Reject the null hypothesis Which of the two statistical errors might have been made in this case? Explain. ) A. A Type II error might have been made because the null hypothesis was not rejected. B. A Type I error might have been made because the null hypothesis was rejected. DC. A Type I error might have been made because the null hypothesis was not rejected, ) D. A Type II error might have been made because the null hypothesis was rejected