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: 39% selected Hire 23% selected Probably Hire 20% selected Hire Unsure 18% selected Will Not Hire Six month later, a random sample of 100 employers were asked about their hiring intentions and gave the following responses: 42 selected Hire 19 selected Probably Hire 17 selected Hire Unsure 22 selected Will Not Hire At 0.5% significance level, does it mean that proportions from the initial study have significantly changed? Use Goodness-of-Fit test and x distribution. For part (a), round your answers in the (0 - E) .. column to 3 decimal places. E (a) Fill in the table below. Observed Expected Hiring Intention Frequency Frequency O - E (0 - E)2 (0 - E)2 O E E Hire 42 Probably 19 Hire Hire 17 Unsure Will Not 22 Hire x2 = S (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 answerWhich one is the claim? OHo 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 Xer = (e) Is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho (claim) and support H1 O Fail to reject Ho and fail to support H1 (claim) O Reject Ho (claim) and fail to support H1 O Reject Ho and support H1 (claim) (f) Select the correct statement. O At 0.5% significance level, there is not sufficient sample evidence to support the claim that proportions from the initial study have significantly changed. O At 0.5% significance level, there is sufficient sample evidence to support the claim that proportions from the initial study have significantly changed