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: a 37% selected Hire a 27% selected Probably Hire a 20% 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: 28 selected Hire 34 selected Probably Hire 17 selected Hire Uncertain 21 selected Do Not Hire At 1% significance level, does it mean that proportions from the initial study have significantly changed? Use Goodness-of-Fit test and 352 distribution. (0 - E)2 For part (a), round your answers in the " column to 3 decimal places. E (a) Fill in the table below. Hiring Observed Expected (0 - E)2 (0 - E) Intention Frequency Frequency O - E O E E Hire 28 Probably 34 Hire Hire 17 Uncertain Do Not 21 Hire x2 = . (0 - E) Total E (b) State the null and alternative hypotheses, and identify which one is the claim. Ho: Select an answer H1: Select an answer Which one is the claim? O Ho OH1 (c) Enter the number of degrees of freedom df =For part (d), round your answer to 3 decimal places. (d) What is the critical value X; = :] (e) Is the null hypothesis rejected? Is the alternative hypothesis supported? 0 Reject Hg and support H1 (claim) 0 Fail to reject Hg and fail to support H1 (claim) 0 Fail to reject H0 {claim) and support H1 0 Reject H0 {claim} and fail to 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