A study conducted in a certain period of time found that fewer than half of employers who hired new college graduates last academic year plan to definitely do so again. Suppose that the hiring intentions of the respondents were as follows: - 29% selected Surely Hire - 28% selected Likely to Hire - 27% selected Hire Uncertain - 16% selected Do Not Hire Six month later, a random sample of 100 employers were asked about their hiring intentions and gave the following responses: - 32 selected Surely Hire 0 25 selected Likeiy to Hire 0 31 selected Hire Uncertain 0 12 selected Do Not Hire At 1% significance level, does it mean that proportions from the initial study have significantly changed? Use Goodness-ofFit test and X2 distribution. In r.\"2 For part (a), round your answers in the " (0 - E)2 " column to 3 decimal places. E (a) Fill in the table below. Observed Expected Hiring O - E (0 - E)? (0 - E)2 Frequency Frequency Intention O E E Surely 32 Hire Likely to 25 Hire Hire 31 Uncertain Do Not 12 Hire x2 = > (0 - E)2 Total E(b) State the null and alternative hypotheses, and identify which one is the claim. H02 I Select an answer "l H12 I Select an answer vl Which one is the claim? 0 H1 0 H0 (c) Enter the number of degrees of freedom df = l For part (d), round your answer to 3 decimal places. (d) What is the critical value X32\" 2 (B) Is the null hypothesis rejected? Is the alternative hypothesis supported? 0 Reject H0 (claim) and fail to support H1 For part (d), round your answer to 3 decimal places. I (d) What is the critical value X3? = (e) Is the null hypothesis rejected? Is the alternative hypothesis supported? 0 Reject H0 (claim) and fail to support H1 0 Reject H0 and support H1 (claim) 0 Fail to reject H0 and fail to support H1 (claim) 0 Fail to reject H0 (claim) and support H1 (f) Select the correct statement. 0 At 1% significance level, there is sufficient sample evidence to support the claim that proportions from the initial study have significantly changed. 0 At 1% significance level, there is not sufficient sample evidence to support the claim that proportions from the initial study have significantly changed