Check my work 2 (a-4) Make a decision. 33.33 points We reject the null hypothesis . eBook Print References (a-5) Make a decision. We cannot conclude that there is a significant difference in the proportion of rehires between the full-time and part-time se (b) Find the p-value. Note: Round your answer to 4 decimal places. p-valueCheck my work 3 Nine homes are chosen at random from real estate listings In two suburban neighborhoods, and the square footage of each home is noted In the following table. 33.34 points Size of Homes in Two Subdivisions Subdivision Square Footage Greenwood 2, 821 2,595 2, 565 2, 801 2, 383 2, 451 2, 858 2, 871 2, 611 Pinewood 2, 617 2,501 2, 564 2,786 2, 392 2, 511 2, 492 2, 687 3,964 Book & Click here for the Excel Data File (a) Choose the appropriate hypothesis to test if there is a difference between the average sizes of homes In the Print two neighborhoods at the 0.10 significance level. Assume , Is the mean of home sizes In Greenwood and /2 Is the mean of home sizes In Pinewood a. He H1 - M2 = 0 VS. H1: H1- H2 0 References b. He H1 - H2 # O VS. H1: H1- H2 = 0 O a Ob (b) Specify the decision rule with respect to the p-value. Reject the null hypothesis if the p-value is .10 . (c) Find the test statistic calc- Note: A negative value should be Indicated by a minus sign. Round your answer to 3 decimal places. tcalcCheck my 3 33.34 (d) Assume unequal variances to find the p-value. points Note: Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places. -value Book Print References (e) Make a decision. We the null hypothesis (f) State your conclusion. We conclude that there is a difference between the sizes of homes in the two neighborhoodsCheck my work A newly installed automatic gate system was being tested to see if the number of failures In 1,000 entry attempts was the same as the number of failures In 1,000 exit attempts. A random sample of eight delivery trucks was selected for 33.33 data collection. Do these sample results show that there is a significant difference between entry and exit gate points failures? Use a = 0.01. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 TRUCK 6 Truck 7 Truck 8 y failures 45 44 55 59 64 55 47 44 Exit failures 50 56 57 57 50 55 46 =Book Click here for the Excel Data File Print (a) Choose the appropriate hypotheses. Define the difference as Entry - Exit. Ho: Ha = 0 versus H1: Hd # 0 References O Ho: Ha 2 0 versus Hy: Ha 0 (b) Find the test statistic tcalc- Note: Round your answer to 3 decimal places. A negative value should be Indicated by a minus sign. tcalc (c) Find the critical value forit for a = 0.01. Note: Round your answer to 3 decimal places. A negative value should be Indicated by a minus sign. terit (d) Find the p-value. Note: Round your answer to 4 decimal places. p-valueCheck my wor 2 A ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee Is beneficial in many ways, Including lowering the costs incurred during the hiring process such as training costs. A random sample of 805 full-time and 400 part-time seasonal employees from 2009 showed that 447 full-time employees were rehired compared with 180 part-time employees. 33.33 points (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use a = 0.05.) (a-1) Choose the appropriate hypotheses. Assume T: Is the proportion of full-time employees and Tip Is the =Book proportion of part-time employees. O Ho: TF - Tip $ 0 VS. Hy. WTF - Tip > 0 Print O HO: IF - Up 2 0 VS. Hy: IF - Up or Zcalc (a-3) Find the test statistic Zcalc. Note: Round Intermediate calculations to 4 decimal places. Round your answer to 3 decimal places. Zcalc (a-4) Make a decision. We reject the null hypothesis