4/19/22, 8:01 AM IDEAS 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 Surely Hire . 22% selected Probably Hire . 20% selected Hire Uncertain . 19% selected Do Not Hire Six month later, a random sample of 100 employers were asked about their hiring intentions and gave the following responses: . 31 selected Surely Hire . 15 selected Probably Hire . 28 selected Hire Uncertain . 26 selected Do Not Hire At 2.5% 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 E places. (a) Fill in the table below. Observed Expected Hiring O - E Frequency Frequency (0 - E)2 (0 - E)2 Intention O E E Surely 31 Hire Probably 15 Hire Hire 28 Uncertain Do Not 26 https://imathas.humber.ca/assess2/?cid=558&aid=18013#/print 3/234f19f22, 8:01 AM mEAS Hire ll _-IL_' \"l:l \\./ (b) State the null and alternative hypotheses, and identify which one is the claim. H0: Select an answer V H12 Select an answer V Which one is the claim? H0 H1 (c) Enter the number of degrees of freedom d f : \\,/ For part (d), round your answer to 3 decimal places. (d) What is the critical value xi, : (e) Is the null hypothesis rejected? Is the alternative hypothesis supported? Fail to reject Hg and fail to support H1 (claim) Fail to reject Ho (claim) and support H1 Reject H0 (claim) and fail to support H1 Reject H0 and support H1 (claim) hnpsimathashumbercau'a ssesskidzsiaid: 130 13#lprin1 41'23 4f19f22, 8:01 AM JDEAS (f) Select the correct statement. At 2.5% significance level, there is not sufficient sample evidence to support the claim that proportions from the initial study have significantly changed. At 2.5% significance level, there is sufficient sample evidence to support the claim that proportions from the initial study have significantly changed. 0 Question 2 B 20 pts '0 1 OnlinePharma.CA, an online pharmacy, promises to deliver prescriptions to its customers for free. Online consultations with their pharmacists and doctors are also offered. Recently, the company's internal audit department selected a random sample of 40 prescriptions issued throughout the system. The objective of the sampling was to estimate the average dollar value of all prescriptions issued by the company. The sampling resulted in a sample mean of $59.50 and the standard deviation of $14.80. Use this sample information to find a 98% confidence interval for the true average sales value for prescriptions issued by OnlinePharma.CA. Assume that the values are approximately normally distributed and use the t distribution. (a) What is df (degrees of freedom) in this case? df : For part (b), keep your answer with 3 decimal places. (b) Find 15% = For part (c), round the confidence interval endpoints to 2 decimal places. (c) What is the 98% confidence interval for the true average sales value for prescriptions issued by OnlinePharma.CA?