Quality First Smnd Illinl Good 2I2 366 174 Defective 15 34 26 (a) Using a 0.05 level of signicance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. State the null and alternative hypotheses. O HO: Not all population proportions are equal. Ha: p1 : p2 : Pa O HU:P1 p2;p3 Ha: All population proportions are equal. 0 Hui-\"1 :Pz :F's Ha: Not all populatlon proportions are equal. 0 Ho: At least two population proportions are equal. H3: ,91 at ,02 s p3 Find the value of the test statistic. (Round your answer to three decimal places.) : Find the p-value. (Round your answer to four decimal places.) State your con clusion. Q Do not reject \"0' We conclude the population proportion of good parts is not equal for all three shifts. O Reject H0. We conclude the population proportion of good parts is not equal for all three shifts. 0 Do not reject H\". We conclude the population proportion of good parts is equal for all three shifts. O Reject H0. We conclude the population proportion of good parts is equal for all three shifts. (b) If the conclusion is that the population proportions are not all equal, use a multiple comparison procedure to determine how the shifts differ in terms of quality. which shifts differ signioantly? (Select all that apply.) C] shift 1 vs. shift 2 C] shift 1 vs. shift 3 C] shift 2 vs. shift 3 C] None differ signicantly. What shift or shifts need to improve the quality of parts produced? 0 Shift 1, because it differs signicantly from shift 3. O Shift 3, because it differs signicantly from shift 1. O Shifts 1 and 2, because they differ signicantly from shift 3. O Shifts 2 and 3, because they differ signicantly from shift 1. O No shifts need to improve because no shift differs signicantly from either of the others